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Paper Citation Record · LEDGER

Tight Staircase Bounds for Cyclic Subsets below Dirac's Threshold

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:4281d7c1a58eba3b0597f6165c4bbd41418c92cc3ad564b6b4364a426e6cb9c1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:d0585c59574b1cb947ba135d6163267ac5f20d430ffda79db23c03bab7f2cedb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:042b316bd138a174908bf99555cb5344fbc97d826096ef87a7bbec6a8fe3493d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:a1d45386b1734a564972f64ae3c781c1e704ac596d969a85c35370ed013b1987

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:be84f2c4c0896ff2befb6e9770046d4eda136864559b2887fb99c6c3e02d7135

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:506131c2658ea77c66785f1254fc8fe5c342e676ff87d97b5ee98438a3316da8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:0e8ff29e707add9f37fc3faebe32cd2a98b1dc953b9f3689dce9ccf470b93938

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:fb40ad1f3d8972a0e8f6c1a719e5e63e146b2a1bf3e7beed9b4ec3dfaffdcb4a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:6ce2d257005c1018045e4bc002f19cd6236f2751edefaf492e3c789c9da27dfb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:5db0df298ef5a60deb906f3187f9d738bd84fe1b04ca38c77922cc06bcb306a5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:7e3773ca97a07d2da0be0d1c228528d31059f9a1b020f368cfc381b554219a15

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:c47d4caae7d6d0bae9e7f03c5153cefeb04c332dd47188ff3fe94db300fb8185

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:182ac0779f25ea449060c91b90971b656e256ea1b6aeeb00874d76522ffe6458

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:79eca3b9fc3a22822747e06969524abe8783e6467ccdd69f717430e85820c2cf

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:b2c02922b6357dca1adf0e0d4bd28e214fbae7b4690e7ec29bdad031ae403b0e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:09:11.499379Z digest=sha256:fe40ae91d1a8ee4c441900f74f07fed650023c3fb2725505e0945d91380cb2ff

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=sha256:83d442bbc2225488f88536c6ed2af91c3251854567148566dd941aee75bb26c3