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Paper Citation Record · LEDGER

On Domination Exponents for Pairs of Graphs

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.12151.

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

pith.paper-citation-record.v1
2506.12151 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:18:39.798518Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T05:35:13.118221Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T05:35:13.269307Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09cc2f41-2139-494e-a4a0-07c6ba041804 · outbound

This paper cites Ahlswede and G.O.H.

On Domination Exponents for Pairs of Graphs Ahlswede and G.O.H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:44.193570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:37.774615Z digest=sha256:e53657956caa3734741455b70b47f6e0b89cd3c25c54ca60fd58538ce7f6ee5a

Observation 26e5db65-f821-45a6-89a4-93410a8f84c9 · outbound

This paper cites Alessandrini.

On Domination Exponents for Pairs of Graphs Alessandrini

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:44.055707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:37.804060Z digest=sha256:b49999c910d9ae1a86f14cd90fdbb79dc3fada2744b1bd40ca61da01996cc8f4

Observation 4d2da736-d55c-4fe6-a3c2-c4260c2110b2 · outbound

This paper cites an unresolved cited work.

On Domination Exponents for Pairs of Graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:18:43.899003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:37.860543Z digest=sha256:a08f2b79c3ddf4080dea184f3afff29f82afa7c69cbdbd25b49bfd343966e240

Observation 6f62b20a-863c-4290-8d9d-35b942ff0219 · outbound

This paper cites Blekherman and A.

On Domination Exponents for Pairs of Graphs Blekherman and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.764491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:37.959851Z digest=sha256:1a6f7fb15ffd80943332d93b7c253b33a20f362d0ead3bf895ead69bbbe821bf

Observation 3c2bdde0-aeba-4083-a370-f82e6a88979a · outbound

This paper cites Blekherman and A.

On Domination Exponents for Pairs of Graphs Blekherman and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.581732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.070488Z digest=sha256:4f4c57f43519184ab9707d3cd13e8ffa162baea2665dfe02fbe064defec41c9a

Observation bca85e41-cd75-431f-95e2-bfa9cf6c82e2 · outbound

This paper cites Blekherman, A.

On Domination Exponents for Pairs of Graphs Blekherman, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.460066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.173103Z digest=sha256:8771ea231ede88a10ff9d1f75fc2b597deb67351cab1fe39e3ae188c79f54ba1

Observation 1f2a9fac-b34b-4157-8d4e-eb031f312249 · outbound

This paper cites Blekherman, A.

On Domination Exponents for Pairs of Graphs Blekherman, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.346545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.235848Z digest=sha256:81406f36474de612e07a2975bd5ab024ca9f80e1bef09f8d14a69b927b87a9d6

Observation b4a8f8c9-9ae7-45ff-90fb-977a5b5eeeeb · outbound

This paper cites Bollob´ as.

On Domination Exponents for Pairs of Graphs Bollob´ as

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.180824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.292418Z digest=sha256:624e26101d3461002c0a1a8c1cd5753b9e935ab4e9c70752d0ea829a75c9cd10

Observation 7a7e4b3f-a210-4a04-9f5b-bb23b54e420c · outbound

This paper cites Undecidability of polynomial inequalities in tournaments.

On Domination Exponents for Pairs of Graphs Undecidability of polynomial inequalities in tournaments

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:18:40.303339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.352000Z digest=sha256:938060bb07d30789535902a174b0dad3b3d4aa4f34650aebc22ecda8f41d200c

Observation f5a7ed98-24f4-4783-a2cb-a0228419a041 · outbound

This paper cites Conlon, J.

On Domination Exponents for Pairs of Graphs Conlon, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.962313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.426506Z digest=sha256:8abb4ba77403a821ba1f34f0a5e1cd1ee020e036e19cbef70ac4924fbc9cc17e

Observation 0c706e7c-da48-4f53-ba7a-7ff4884af25e · outbound

This paper cites Domination inequalities and dominating graphs.

On Domination Exponents for Pairs of Graphs Domination inequalities and dominating graphs

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:18:40.160206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.516757Z digest=sha256:efcec23e42279643386b60045333f3f234c7947ea11bb6f0f4f248c028b1b00f

Observation b66319a1-6e0f-469a-a143-dac2af9f3c78 · outbound

This paper cites Dasc˘ alu and A.

On Domination Exponents for Pairs of Graphs Dasc˘ alu and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.789940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.608022Z digest=sha256:03cfa8fb81d19d1f94dfb72eaa35e37fab1b429bbb58f00af03e5eadb53efb04

Observation f84e89c2-ff75-477a-8f3e-798f8646b1c8 · outbound

This paper cites Freedman, L.

On Domination Exponents for Pairs of Graphs Freedman, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.621612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.707403Z digest=sha256:52cae5aa96611f5303cd4e69adbda00a5d249b38364d9fa609043c8016c228d1

Observation 5c09b35f-9751-49fe-a430-5a8194f92c1c · outbound

This paper cites Hatami, and S.

On Domination Exponents for Pairs of Graphs Hatami, and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.429902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.814402Z digest=sha256:7a19cb2016cc657aa06c43358d89319257f4eaa42ae106fbafadfb2d324585ee

Observation c446a957-4ab6-447c-bcf1-25b5add67643 · outbound

This paper cites Janson, K.

On Domination Exponents for Pairs of Graphs Janson, K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.309083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.882630Z digest=sha256:4df2bf1b5beeefedcf7f946d9464d91d458fead5ccdca2bdfec8ddf4989a5ba9

Observation 33246299-2332-4295-a989-13bb0988ecca · outbound

This paper cites Kopparty and B.

On Domination Exponents for Pairs of Graphs Kopparty and B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.204339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:38.984857Z digest=sha256:e275cf0e103efde1939840bdd3dd877260a7d6811c0613ed90d9f79cdc7e3d20

Observation 1c70dbee-6c91-490a-93cd-a231ba6f7f21 · outbound

This paper cites Lov´ asz.

On Domination Exponents for Pairs of Graphs Lov´ asz

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.038456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.055807Z digest=sha256:d06429256fea21b91b5f87452b26599d076738a01f8e56aec92999db284dcc50

Observation f9791d70-741b-42c8-998c-07eb5488fd9a · outbound

This paper cites Lov´ asz.

On Domination Exponents for Pairs of Graphs Lov´ asz

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.919237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.120583Z digest=sha256:cb22f034d83c82f938b733819f40dd75b36aabc6c6d895040d0d1f8b94b2f639

Observation 488fb0e6-fb2f-45d6-b288-b3db0b369a4a · outbound

This paper cites Lov´ asz.Large Networks and Graph Limits.Amer.

On Domination Exponents for Pairs of Graphs Lov´ asz.Large Networks and Graph Limits.Amer

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.796870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.177727Z digest=sha256:1ccbd584daed97b650204947d0aad2eb98eeb5d346ff9191c1ee056e1337195f

Observation 1caaf844-1b29-4b29-9413-02ec1fa31434 · outbound

This paper cites Random graphons and a weak Positivstellensatz for graphs.

On Domination Exponents for Pairs of Graphs Random graphons and a weak Positivstellensatz for graphs

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.639585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.218865Z digest=sha256:4863d9fc752995b56c5a54b20515c8d6f7e91e6d4e3beff659cd67a04b8e78ab

Observation c445e49d-b8c6-4ca6-965f-3af9f5cefab4 · outbound

This paper cites Nikiforov.

On Domination Exponents for Pairs of Graphs Nikiforov

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.507476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.267405Z digest=sha256:99097ac623f27fe90909a1a4d1c4235632efaa741504196ed5c028ee6d9c1153

Observation 51a92b70-98a6-41fe-95fe-0591c46b3f77 · outbound

This paper cites Razborov.

On Domination Exponents for Pairs of Graphs Razborov

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.320459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.319904Z digest=sha256:a9e4e1d91978d42f7cdcb7007c2b89077795ec701ad7b428cd4a0312c6092d10

Observation 99914e89-37e9-405d-9bc2-00e8b6d85d40 · outbound

This paper cites Razborov.

On Domination Exponents for Pairs of Graphs Razborov

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.208157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.376489Z digest=sha256:ee6ca5c1f18fdea05fc0c6c1916c77ad9185301bcb23ef8314b10e923340f310

Observation 3eb79a15-e43f-40f2-913c-cbc3f3cd826f · outbound

This paper cites an unresolved cited work.

On Domination Exponents for Pairs of Graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:18:41.019454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.456086Z digest=sha256:a03011fa5eb9f96eb73231b4bc6065ea5dcd86b3a5c4bf76b2cfa7363f465188

Observation d6f5426a-95b0-4822-9277-24ad0645864a · outbound

This paper cites Sa˘ glam.

On Domination Exponents for Pairs of Graphs Sa˘ glam

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:40.836052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.513490Z digest=sha256:dac38ab5d5491c98276037551cfa624de323b4d8d6f045d81e6162e3f6bcf680

Observation b13ba2c4-8e7c-4d47-863b-21a7c1f9955a · outbound

This paper cites Sidorenko.

On Domination Exponents for Pairs of Graphs Sidorenko

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:40.628624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.575366Z digest=sha256:b13cf5a14b4f71f37b04ca5e40b10a52764d1aa00cdd493d8505c8f9396efe60

Observation 023a16d6-ae87-4b7e-8b27-09dac9dfb8e8 · outbound

This paper cites Sidorenko.

On Domination Exponents for Pairs of Graphs Sidorenko

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:40.437939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.700940Z digest=sha256:5f15fc72e859ff689f3f7011d3c35cc2c3ab9dbfc569dfeaaf7ee38fb600d274

Observation 0f5523dd-2de8-4000-a4c5-ae8e856b671c · outbound

This paper cites The Graph Density Domination Exponent.

On Domination Exponents for Pairs of Graphs The Graph Density Domination Exponent

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:18:40.003665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T01:18:39.798518Z digest=sha256:8a4cf5d0d3087444e8c0c6bcd52ec211fb1d4a47dc062f5d066f58097530dd8b

Pith citing papers

Observation 9fc83d9f-0dd9-4850-9e04-6db2dcce43e6 · inbound

Adaptive Chain-of-Focus Reasoning via Dynamic Visual Search and Zooming for Efficient VLMs cites this paper.

Adaptive Chain-of-Focus Reasoning via Dynamic Visual Search and Zooming for Efficient VLMs On Domination Exponents for Pairs of Graphs

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-17T05:35:13.271559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-17T05:35:13.118221Z digest=sha256:447854d11dd6814b39348d91cc03d578b1c9f424a2e3ddb0a5dc23a7155419ba