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Paper Citation Record · LEDGER

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold

As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2607.06551.

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

pith.paper-citation-record.v1
2607.06551 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T02:09:11.499379Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:14:38.112530Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ad1afba8-78e6-45da-9085-4ff281980f0f · outbound

This paper cites an unresolved cited work.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-08T02:14:26.186893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:bfafb50e45fe2341b2f06f1d68efcded2b8b4d7960fb54254f361abd8895e374

Observation 71a56682-5353-4713-9daf-d11e78c8a109 · outbound

This paper cites Csaba, D.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Csaba, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.207616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:8826b9874dad65c508740f146b1a34d91de2c2cd68737af5eb27b24136c1fc83

Observation a2ac5280-d77e-455f-8f0a-1bcf39fbac53 · outbound

This paper cites Cuckler and J.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Cuckler and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.205944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:757b22626151fc0029d2b23b212dc94964be2915a9009e8e402911eeb1a0ec28

Observation 5de0d6eb-fe17-4189-8d56-7221d0ea9b5b · outbound

This paper cites an unresolved cited work.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-08T02:14:26.210347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:ce975aec82b2030fda0ac86220b16c0986b3e720439403ed61144dfe13b670e2

Observation 54192080-d23b-4f0f-a786-862a452b6581 · outbound

This paper cites Draganić, P.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Draganić, P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.189334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:1b20a7be968eddc017fc0e33a6130dcc486065c6efd994933400196a867fc814

Observation 752238ee-94a1-4c8a-baf3-3c405f8b4ef9 · outbound

This paper cites Springer, Berlin, 1997.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Springer, Berlin, 1997

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.199173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:a20a09187607dcf6411dc41764a88421d979e8323eb94a869f271181af105e41

Observation e8dfbbe4-eebd-4e59-ae9e-bc595c5b3f52 · outbound

This paper cites Frieze and M.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Frieze and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.184388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:7a08c4db0b29847ae3a44c9d40c282b9c87f490ffcc4dccc04673522b00eb5a2

Observation a512eec3-8381-41b8-924c-0c863991a814 · outbound

This paper cites Hunter, T.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Hunter, T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.205693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:034dfda725d47f8d4609abdbf6785c5616b89bec9604796779b1819c840bf977

Observation 892cf19a-fb31-4749-a42d-f3b2143b7205 · outbound

This paper cites an unresolved cited work.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-08T02:14:26.208117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:fc71414df4c902167f05976bd6b09d4e130b5c1f706176262e42ccc78c221ab9

Observation 2bb71418-afc7-4912-912b-fbdcc4581e52 · outbound

This paper cites Komlós, G.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Komlós, G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.182134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:bf633a7b6baad3e48bc2030d99642f860fcc745359ed81ea36c2156059018500

Observation 9418202e-5937-4fb8-9c13-7f5b637a42a3 · outbound

This paper cites Komlós and M.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Komlós and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.209554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:6b35657b612264b20c8aef8303c82d3e1f56ac41468117734affd41ac712d9c5

Observation 83b8bd94-8f1f-4cb1-bdd0-41b7adbc44b5 · outbound

This paper cites Krivelevich, C.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Krivelevich, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.203716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:0d5e65c16caf9364a45b6dab238716793e61389334be758d6c5eb0f154eedddd

Observation 14e9635c-f937-4582-b8da-b03b1cd05a10 · outbound

This paper cites an unresolved cited work.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-08T02:14:26.203588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:2db34989272e8a581f862fd88fbc05037c41fd86b102f62e2eb6accf184cb7d6

Observation 039e0004-af07-477b-b391-c5d3e4cc65f0 · outbound

This paper cites Montgomery.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Montgomery

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T02:14:26.201455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:127316c7ba1cec5180b3a6f98a957ee595775c6d635c5e8474e1657e93526f7e

Observation 42e5dc38-0a7e-41de-86fe-388b638c88bb · outbound

This paper cites an unresolved cited work.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-08T02:14:26.201237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:77a610051541d5babf98888ff11bb317e1484f98872420b7c25b0964bb64f613

Observation f8b3c97a-86e6-40f8-9b34-96695171e872 · outbound

This paper cites an unresolved cited work.

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold Unresolved cited work

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-08T02:14:26.141672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:88cdaa382a1cd359e66ed6e91ef90b30980d561cb3e7ca17be1cf8eea9d358f1

Pith citing papers

Observation af94ae88-2500-4edc-93a1-3ad833a00b13 · inbound

On the number of factorable induced subgraphs cites this paper.

On the number of factorable induced subgraphs Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T00:14:38.112530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:14:38.112530Z digest=sha256:45acb258ee86e5fc90f0f2dd7e538e5d574ae309593f5de0d0180f4530638095