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Paper Citation Record · LEDGER

From real polymers to random graphs: percolation thresholds in associative polymer solutions

As of 5 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:2607.25534.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.25534 v2

Coverage vector

measured 68 of 68 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:14:21.827478Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

68 of 68 outbound references displayed

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External citation measurements

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Outbound references

Observation 824ecb93-6b63-404e-8479-98253beab862 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 1

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Observation 37e28c7b-ca72-4638-adf1-10e764ca1df9 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 2

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Observation 9e7c560e-0285-41f5-8a1f-b887c94674e3 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 3

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Observation bf6f2ffb-309d-48fd-98a7-75cb336c4589 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 4

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Observation 9fdecbbb-0b82-4479-b79a-80a193edbd91 · outbound

This paper cites Flowchart of the random graph(RG) (a) and random geometric graph (RGG) generation (b) for the homoassociative polymer system.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Flowchart of the random graph(RG) (a) and random geometric graph (RGG) generation (b) for the homoassociative polymer system

Reference 5

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Observation 400403af-4880-4028-a6de-6a80f2a91114 · outbound

This paper cites The extent of reaction is characterized by the conver- sion p (0 ≤ p < 1), representing the fraction of func- tional groups that have reacted.

From real polymers to random graphs: percolation thresholds in associative polymer solutions The extent of reaction is characterized by the conver- sion p (0 ≤ p < 1), representing the fraction of func- tional groups that have reacted

Reference 6

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Observation 5167ecb6-817f-4109-9c54-ca054217ad82 · outbound

This paper cites Since every bond consumes one reactive group on each species, the reaction probabilities pA and pB are constrained by the stoichiometric relation pAfANA = pBfBNB =: Np.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Since every bond consumes one reactive group on each species, the reaction probabilities pA and pB are constrained by the stoichiometric relation pAfANA = pBfBNB =: Np

Reference 7

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Observation 2715228b-0f66-4472-902a-fe60a2f6b5a1 · outbound

This paper cites (B2) We denote by E(W out) the expected branch weight ob- tained by following a randomly chosen reactive group.

From real polymers to random graphs: percolation thresholds in associative polymer solutions (B2) We denote by E(W out) the expected branch weight ob- tained by following a randomly chosen reactive group

Reference 8

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Observation dc26e91c-07b2-43e0-be34-305da4b5f191 · outbound

This paper cites (B13) Here, xi and yj are the probabilities of reaching an A- type or B-type junction of a given functionality when following a reacted bond.

From real polymers to random graphs: percolation thresholds in associative polymer solutions (B13) Here, xi and yj are the probabilities of reaching an A- type or B-type junction of a given functionality when following a reacted bond

Reference 9

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Observation bf912ce1-8429-4d2f-98e9-1344bcdda2c9 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 10

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Observation be17c241-5fed-4eae-b7dc-8ef63ce8c8a9 · outbound

This paper cites Formanek, L.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Formanek, L

Reference 11

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Observation 579f261a-5acc-4e60-b7c0-478cfbf3b6fc · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 12

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Observation f71333f3-178f-48ec-8f13-96728c1482eb · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 13

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Observation 7d8b4be2-aa15-4d56-b61c-4d7b8de40d65 · outbound

This paper cites Rovigatti and F.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Rovigatti and F

Reference 14

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Observation f0244a2b-0d49-48cc-bfb9-cac07f07eee5 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 15

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 16

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Observation 71071072-ec82-49bf-b312-da1e6efa633e · outbound

This paper cites Rossow, A.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Rossow, A

Reference 17

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 18

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Observation e98ae17a-8a6e-417c-b6f2-eb6829a52043 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 19

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Observation 6a0e33fd-89a6-450c-8061-93bb805cc4fc · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 20

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Observation f85ce1b3-9dc5-465f-8801-438cca3b704b · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 21

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Observation 6ebde8cf-b479-4813-bd8a-660439ddec75 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

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Observation 8332fb48-1d53-4c86-9618-dc7521bb990d · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 23

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Observation c79463cd-a9c8-47d5-8cb8-b51951a37c31 · outbound

This paper cites Wang, T.-S.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Wang, T.-S

Reference 24

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Observation e78d7791-6a0d-4f71-86b2-51b55e3d9840 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 25

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Observation 158ee744-438a-4890-b42d-720420d0bff6 · outbound

This paper cites Santra, B.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Santra, B

Reference 26

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Observation dfecc3bb-9919-496b-ae6f-9dc74228075e · outbound

This paper cites Kryven, J.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Kryven, J

Reference 27

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Observation 15ac66c2-14ec-4709-9a74-c0615cffb070 · outbound

This paper cites Zhang, G.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Zhang, G

Reference 28

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Observation 50079d83-dbee-47f2-873e-3ada85f98140 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 29

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Observation f1ef58d8-6ddb-4ac2-b3ae-7b3cfa4dea0e · outbound

This paper cites Erdös, A.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Erdös, A

Reference 30

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Observation 3af9f1bb-850d-4f06-9ca3-eb5ec2da1b3d · outbound

This paper cites Dall and M.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Dall and M

Reference 31

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Observation c2a39568-a22e-4caa-9ab3-842598b02c98 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 32

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Observation e8ba0e03-d4ec-4843-8fa7-7d52d788372b · outbound

This paper cites Kremer and G.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Kremer and G

Reference 33

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Observation b1e64d6f-aff5-4a6d-9dab-75bf1b9da6c1 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 34

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Observation 4ee54f42-d00e-42ce-be88-6b08a5c0f211 · outbound

This paper cites Zhang, B.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Zhang, B

Reference 35

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source=pdf_text observed=2026-08-01T02:14:18.976196Z digest=sha256:14eea9cf37fce93ea8c1afb2d3c057e74a5fcae3bcd7ac7bfdf85a0db4380230

Observation aa10b992-8a95-4931-8a61-f26144284363 · outbound

This paper cites Sciortino, Three-body potential for simulating bond swaps in molecular dynamics , The European Physical Journal E 40, 3 (2017).

From real polymers to random graphs: percolation thresholds in associative polymer solutions Sciortino, Three-body potential for simulating bond swaps in molecular dynamics , The European Physical Journal E 40, 3 (2017)

Reference 36

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Observation 66e41160-218e-4fb3-9f38-00ce0c9fbf5b · outbound

This paper cites Rovigatti and F.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Rovigatti and F

Reference 37

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Observation 08aaadd5-eaaa-4c42-8bb9-1c540f257264 · outbound

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From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 38

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Observation 8ff0f68e-0350-4122-b576-488118fb65c7 · outbound

This paper cites Dall and M.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Dall and M

Reference 39

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Observation e255338e-fe00-4685-bf37-c9ad2f52664a · outbound

This paper cites Newman, Networks (Oxford university press, 2018).

From real polymers to random graphs: percolation thresholds in associative polymer solutions Newman, Networks (Oxford university press, 2018)

Reference 40

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source=pdf_text observed=2026-08-01T02:14:19.291716Z digest=sha256:98e41304bda96f0e5ef6cfb2245224bc516bcd776a33eca49a3bccdb8cd9dac1

Observation e841ef35-a78f-437a-96e9-a2906840c8a1 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 41

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source=pdf_text observed=2026-08-01T02:14:19.375742Z digest=sha256:83e673fc8a6040ee6152cc1ca45b0680379812b039bd5dc214c25a39ea91690a

Observation b23f5dc8-9612-464e-99c9-00dc22ba3e44 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-01T02:14:19.496726Z digest=sha256:4c96f7d63bc99456a226227b4314b958059a27fbf5e8c45b16ce2e9871a7173c

Observation 0d0ae418-dc63-4dd9-b3d0-7fe63271d6f3 · outbound

This paper cites Gordon, Goods theory of cascade processes applied to the statistics of polymer distributions , Proceedings of the Royal Society of London.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Gordon, Goods theory of cascade processes applied to the statistics of polymer distributions , Proceedings of the Royal Society of London

Reference 43

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source=pdf_text observed=2026-08-01T02:14:19.564745Z digest=sha256:a7f1d5533e146970e45bd01d2be955123fe25b9c06b417dec8c9f5b423c7ac72

Observation 2dd7452e-1622-440b-b4fd-1917707af69e · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 44

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no resolver link, observed 2026-08-01T02:14:19.663073Z

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source=pdf_text observed=2026-08-01T02:14:19.663073Z digest=sha256:1917fbcf5d9edcecabeb7d552cd489aa8b01877df7503214937c2142b82a017d

Observation b1172c26-3430-45e4-9eaa-448e58b0819d · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 45

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no resolver link, observed 2026-08-01T02:14:19.759203Z

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source=pdf_text observed=2026-08-01T02:14:19.759203Z digest=sha256:56e299b3e310eb56cacfd51297e899697d2fa274e86fa21cc21e448119980f18

Observation fea5c161-40f4-4ffb-88e9-ae4ac1f80446 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 46

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no resolver link, observed 2026-08-01T02:14:19.871691Z

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source=pdf_text observed=2026-08-01T02:14:19.871691Z digest=sha256:72e046306dd4de4f16c4c59964609704968be53d48118a49ce0e9ceb84076fa0

Observation e1b5bf16-9885-4ac5-b82a-0b38aded8fe2 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 47

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no resolver link, observed 2026-08-01T02:14:19.959760Z

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source=pdf_text observed=2026-08-01T02:14:19.959760Z digest=sha256:24ec12aac3f1dcfb9eda23e4aa258c49ac1d3c0ddf92cb70a1d6ebe5c8ca83e2

Observation 3c2d2310-9e89-4ebe-8ce6-6fc651c0840b · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 48

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no resolver link, observed 2026-08-01T02:14:20.070589Z

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source=pdf_text observed=2026-08-01T02:14:20.070589Z digest=sha256:735ef20f252c13f6da00741c2db06b4e9cf63f403c20260603a5fbc9d1c3803e

Observation 8abf2ea0-bb79-4ba2-9ec6-43dfb2e6b402 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 49

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T02:14:20.166070Z digest=sha256:b99c43f44f02a0034f441ee84a165013d01047ab3fca9f18a519ed5973a7f971

Observation ef0138d7-e98b-4840-84b1-2a2220eade04 · outbound

This paper cites Flajolet and R.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Flajolet and R

Reference 50

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source=pdf_text observed=2026-08-01T02:14:20.299647Z digest=sha256:4c112f6546cf4f079eb1ca5d2c8234b901b1a186ef283a8f928f7a4d5b19a034

Observation 2cf64f85-13a5-492e-911d-c1023837b511 · outbound

This paper cites Surya and L.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Surya and L

Reference 51

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source=pdf_text observed=2026-08-01T02:14:20.428560Z digest=sha256:6590e3f96258a91e96078e7e4f49a28b606bfc79817b129caad8234f50f17472

Observation 89d4af10-bfac-427b-98ac-fddf393ad3d4 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 52

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no resolver link, observed 2026-08-01T02:14:20.508319Z

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source=pdf_text observed=2026-08-01T02:14:20.508319Z digest=sha256:94ed72f576f93875a4b728081dffbb7895b4f6209544373e3490e9b23ec634c8

Observation f2cc0c3c-4fad-4d6f-ba2e-a44017a9808b · outbound

This paper cites Livraghi, K.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Livraghi, K

Reference 53

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source=pdf_text observed=2026-08-01T02:14:20.606759Z digest=sha256:63bb8b5f09906198016d7beafd89e2f3920630d83e6766d39e364e5e49869fd0

Observation 35be00f2-2aa0-4451-a309-cac0d32f3eb9 · outbound

This paper cites Ranganathan and E.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Ranganathan and E

Reference 54

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source=pdf_text observed=2026-08-01T02:14:20.700153Z digest=sha256:674877fe7b970bc76c8a8fb17683831d095fb06b65eaf96f51c9199aebc9fbbb

Observation e9badddc-63f3-44de-bfb4-c4d150109705 · outbound

This paper cites Zhong, R.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Zhong, R

Reference 55

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source=pdf_text observed=2026-08-01T02:14:20.794813Z digest=sha256:3aa6b3b4427289921128a78b60b66e3f56fd200f487dd15255eaecf13da1869e

Observation c3f3b801-f9a4-407d-8e9f-52bfae08fac9 · outbound

This paper cites Zhang, J.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Zhang, J

Reference 56

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source=pdf_text observed=2026-08-01T02:14:20.874811Z digest=sha256:a691fb022418ce510df98c927c7c489a2c7f627a56a06cfbc08a2e41a7b37abc

Observation a5423778-8a26-40e8-ada1-56f142779fbf · outbound

This paper cites Tavares, P.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Tavares, P

Reference 57

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source=pdf_text observed=2026-08-01T02:14:20.991444Z digest=sha256:3bf9eab46cbe802bfdfbdc1d0c3b321a7cdc23b151b7fea9807ac9975640bce4

Observation e8bbe693-9172-4851-9a74-077d4e79f30f · outbound

This paper cites Corezzi, C.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Corezzi, C

Reference 58

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source=pdf_text observed=2026-08-01T02:14:21.038243Z digest=sha256:56a44805a2e7627fbd93dbb0490fe5d2d55e29eb8f5dc9af7e168ff8557605fa

Observation 50d57174-b0c9-4718-8349-b794d03c8b91 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 59

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source=pdf_text observed=2026-08-01T02:14:21.088349Z digest=sha256:d38a0c71458414aee0cc2c6bf76b18d294c7b9ed4c0f34db8bf13f8971c4cb96

Observation 97746340-517d-4a5c-80a0-97cd693ddce0 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 60

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source=pdf_text observed=2026-08-01T02:14:21.165019Z digest=sha256:4d8723ad80d7841279d5594a0314d1d8920c36bc7ff95f662ce4ea4109f00e97

Observation 57379a82-120b-4084-99ed-4a77a8353bcc · outbound

This paper cites De Gennes, Critical behaviour for vulcanization processes, Journal de Physique Lettres 38, 355–358 (1977).

From real polymers to random graphs: percolation thresholds in associative polymer solutions De Gennes, Critical behaviour for vulcanization processes, Journal de Physique Lettres 38, 355–358 (1977)

Reference 61

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source=pdf_text observed=2026-08-01T02:14:21.265676Z digest=sha256:1dc0b0dc3b1a4c92302d2bbcaabdff8d090b683be0ce863490fbb9efcae02fa5

Observation 7e19a827-a04d-4ae3-b2a4-6bc645487421 · outbound

This paper cites Rubinstein and R.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Rubinstein and R

Reference 62

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source=pdf_text observed=2026-08-01T02:14:21.346030Z digest=sha256:1a6274c6da9d2530f288123ec70bf42a411f35059a296c0bf763624513767df7

Observation 52ef0eb8-f248-44f7-9ee5-a89c594cfe91 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 63

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source=pdf_text observed=2026-08-01T02:14:21.416774Z digest=sha256:b14d544620bb4aa0adb45baca541232f3923ce255cafd99e6c26068fe3a38c43

Observation d1c7341a-649e-4bc7-a2a1-83f91fbf8776 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 64

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:14:21.489445Z digest=sha256:47bb2b91c7d0f457eb95f221181629d8a0515482e2c36533f11032d889fcc6d7

Observation 805c7cd2-285e-424d-ac4d-4cf2fc59eab0 · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 65

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no resolver link, observed 2026-08-01T02:14:21.626561Z

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source=pdf_text observed=2026-08-01T02:14:21.626561Z digest=sha256:f83cac3576a8fee79e6d3169868ed1cd28e6885c6f2decb332004bb1a2352cca

Observation 4ca2ab3f-a7ab-4d02-8f5c-ad1d5ebb619b · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 66

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:14:21.721503Z digest=sha256:05434389ad31f9463477d1ec0c08ed5ba2e4de59bbd8788d4133be5d63c9d27a

Observation 484060ea-a759-43fb-98ee-e6e26276fead · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 67

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no resolver link, observed 2026-08-01T02:14:21.792178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:14:21.792178Z digest=sha256:9e9d8a8408170e472f6ae5d8e90287910e3c80bd9b5f6b85f67584d8467c1efd

Observation 9a4cb0d4-42c7-4fa4-94df-e3413e69a6ce · outbound

This paper cites an unresolved cited work.

From real polymers to random graphs: percolation thresholds in associative polymer solutions Unresolved cited work

Reference 68

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no resolver link, observed 2026-08-01T02:14:21.827478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:14:21.827478Z digest=sha256:ee7ee9c20a5a0897e13becee0698f81c6991c4b57ac58335e96bafbb6743095f

Pith citing papers

No inbound Pith citation observations are available.