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Paper Citation Record · LEDGER

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.02628.

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

pith.paper-citation-record.v1
1908.02628 v3

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:55:31.492759Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f59fc870-7b42-496e-b2a4-7dee510b5dd2 · outbound

This paper cites Bourgain, Additive Patterns in Multiplicative Subgroups, Geom.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Bourgain, Additive Patterns in Multiplicative Subgroups, Geom

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.886244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.377753Z digest=sha256:cec96fd480d90f3fa3a9cacfb1f4fe77c028f2f61b8ff03bbb6e6e439fc871a0

Observation 5d487a8e-9fe0-40b7-b90d-7764e1372718 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.872850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.382879Z digest=sha256:7eae5971154dae260cfcfa20b3912788591cacdc2d64523c74d407326f907218

Observation 0eeab67a-f401-4988-9572-363f5ddcc8bf · outbound

This paper cites Anderson, Some problems in combinatorial number theory, PhD thesis, University of Not- tingham, United Kingdom, (1967).

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Anderson, Some problems in combinatorial number theory, PhD thesis, University of Not- tingham, United Kingdom, (1967)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.859749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.387772Z digest=sha256:3032dcc4676715da67a6f35810acca76fbb834d918b4893e0ed7153706542e03

Observation 36d92385-90e1-4da7-b52e-5b491fce762b · outbound

This paper cites Anderson, Combinatorics of Finite Sets , Dover Publications, Mineola, NY (2002).

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Anderson, Combinatorics of Finite Sets , Dover Publications, Mineola, NY (2002)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.846060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.392474Z digest=sha256:9a660a0fcdca7c51d54dbbe4b6838de78f6fa5cb491f719dbddeb634bfc40a4c

Observation 044833ec-2407-4233-999f-44a61ecbebc0 · outbound

This paper cites Bollob´ as,Random Graphs, 2nd ed., Cambridge University Press (2001).

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Bollob´ as,Random Graphs, 2nd ed., Cambridge University Press (2001)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.832520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.397007Z digest=sha256:c2d393427895023d9c043041116ceb6f31f4441e8ed5ead06a40ed38c377b8b9

Observation 6e68b060-c235-4320-824f-b8e447573074 · outbound

This paper cites Bollob´ as, A.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Bollob´ as, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.818421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.401213Z digest=sha256:67d3218dc15016d940fac4c86ea21b2524156b24b064ecaaeef8f4fefce17062

Observation e329b237-ea00-406d-ac07-e90cddecf4d0 · outbound

This paper cites Engel, Sperner theory in Encyclopedia of Mathematics, Cambridge University Press (1997).

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Engel, Sperner theory in Encyclopedia of Mathematics, Cambridge University Press (1997)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.802627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.405976Z digest=sha256:711098596c456dcb5d9aa7a90775c05828a40fe475a168e872efde88ece2a90d

Observation 8a509a8f-297b-4db5-9d1b-f0bd60125ff0 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.789509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.410307Z digest=sha256:f7fae027de27611fbaf381b4668aa13c28e37da172e8d8adca84d4bc44aae67c

Observation f1e9bc44-c539-411b-8667-fda549f5781a · outbound

This paper cites Erd˝ os, A.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Erd˝ os, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.775847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.415327Z digest=sha256:4e55a8cc7a66bfb51ec06c695ad1108637cec947df27a1266f15e9ea1fea455c

Observation 353e9701-134f-4db1-a4ef-301a297faf20 · outbound

This paper cites Erd˝ os, A.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Erd˝ os, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.762874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.419574Z digest=sha256:b936e7a17d8ef927a9d1f0217bcc85e0dcdda0963000844aa4011d85c0634a2e

Observation 66ec92e6-b6ed-4426-857c-96e1b1d444bb · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.750045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.423621Z digest=sha256:fcbb6c9c57cac0e16c4b6af23ee847dd429c3f2c3ca763b075d3fb379ee75eb9

Observation a4e67363-54a7-4c07-b5d1-b13c474f834b · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.736743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.427779Z digest=sha256:d503162327833a9348592e587df450e0cf90afe99cdf11aa6e041eac93952cf0

Observation f1ea7c7b-eb2e-44df-b358-1cf8cf4d1b08 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.723522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.432263Z digest=sha256:a563d50130f59f86261b8221aeef45ee804c3dd44b7a84b21716e720b7270196

Observation 2b404982-8eb5-46f8-bdd9-8aaa9f9f1f3c · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.709982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.436518Z digest=sha256:b2ce8cd6914a2e863f667cbe17cefe76cb7bc4d1e09997090258513b7a16f1ad

Observation cc28c848-4c94-44eb-809e-cdc50b7bcb42 · outbound

This paper cites Janson, T.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Janson, T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.696704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.440739Z digest=sha256:a25ad386ed08f9659b207513a38600c6d875541b413b3902692ffac2b1733919

Observation 8bdddb18-bd6b-4721-90ef-71a10d524d0c · outbound

This paper cites Kleitman, On an extremal property of antichains in partial orders, Combinatorics (eds.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Kleitman, On an extremal property of antichains in partial orders, Combinatorics (eds

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.683361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.445477Z digest=sha256:581ee291bf1ce8cc770cd15082ed168614fa9c0c7c8f09275e07c26947809364

Observation f9e50157-e5f5-4043-8bd4-5441ee02705b · outbound

This paper cites Knuth, The Art of Computer Programming, Vol II: Seminumerical Algorithms , 3rd ed., Addison-Wesley (1998).

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Knuth, The Art of Computer Programming, Vol II: Seminumerical Algorithms , 3rd ed., Addison-Wesley (1998)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.669859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.449952Z digest=sha256:2ca5c8ab733b5ea379b6ae04cd419ef22d2b074fbd87b327d223ec2852138769

Observation 6aa8e8f8-0826-484c-9037-df3f3c8a3939 · outbound

This paper cites Krivelevich, B.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Krivelevich, B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.655598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.454154Z digest=sha256:4a268d8e59523221bdc8f18aab2f04b3ae050278b6ca9e84137dba4c708d2ce9

Observation 1ab82a8d-9192-4921-85c3-41568cf9f904 · outbound

This paper cites Hypergeometric tail inequalities: ending the insanity.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Hypergeometric tail inequalities: ending the insanity

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:31.458323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:55:31.458323Z digest=sha256:620925120cbb7a582d3ae170d6a45b14a6f88520d1444ad3327e166b252ea29d

Observation 2d9b6a34-43c1-4bc7-8ef0-26a8fc46838e · outbound

This paper cites Thomason, Pseudo-random graphs, Annals of Discrete Math.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Thomason, Pseudo-random graphs, Annals of Discrete Math

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.641853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.462897Z digest=sha256:6518980dd9dd9aacfe4dff67cb34500cf7de1f6cc77127fbc7678216b6ed38ca

Observation 165efbb2-7896-434d-9b81-3247d5be5b09 · outbound

This paper cites Thomason, Dense Expanders and Pseudo-Random Bipartite graphs, Discrete Math.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Thomason, Dense Expanders and Pseudo-Random Bipartite graphs, Discrete Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.628076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.467468Z digest=sha256:6ed75b15fb8a450acd3895d394212602a1f104e83791538ce05dc3ee89443869

Observation e88138ed-c7d2-4e62-bd4c-f97c0fc7c850 · outbound

This paper cites Wang, Normalized matching property of the subgroup lattice of an abelianp-group, Discrete Math., 257 (2002), 559-574.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Wang, Normalized matching property of the subgroup lattice of an abelianp-group, Discrete Math., 257 (2002), 559-574

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.613517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.471685Z digest=sha256:13aea78db77f97315732a1166c348a392b293bf6737eb422bba1b808839c490b

Observation 894fa868-f8bc-4154-b3cc-b9a410d70ce8 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.598536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.475986Z digest=sha256:3e327414191810bc0da3f2024a2aa3709970672117637d438c0c58bcff8ffc74

Observation 8691e6e0-f44a-44e2-9b57-514a296cd562 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.584295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.479979Z digest=sha256:ef82fc8910d0f7c547f18cfadcbd5084b5f27fb64d0b123fba9365a14fda845a

Observation 98db390a-d417-4ebb-aebc-1afab9a028fa · outbound

This paper cites Chang, W.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Chang, W

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:31.570739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.484141Z digest=sha256:8c652718539c15fa20f3c245cebde5cfceb586456706e86c571f09904c44b16c

Observation 77b65f7d-f158-4719-aed8-5df14cbec357 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.556767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.488528Z digest=sha256:f7e3cfbbee1f61d99efc90c2d9f304599821cc7ba752fbd0d1adc6a4386f9fa8

Observation c569189d-5c64-4bd5-9990-56a1d284cb11 · outbound

This paper cites an unresolved cited work.

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:55:31.542365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:55:31.492759Z digest=sha256:e9a7b6af45e42c3a66eae23a368bb02e10df1df9cbcd705b762e7e16daf218e4

Pith citing papers

No inbound Pith citation observations are available.