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Paper Citation Record · LEDGER

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals

As of 15 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.06077.

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

pith.paper-citation-record.v1
2607.06077 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T17:24:58.991852Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e111daf-e69f-4553-a8ac-3ce22a55ac1d · outbound

This paper cites instability on instability.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals instability on instability

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.515997Z

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=2026-07-08T17:24:58.991852Z digest=sha256:8373b28fcbaa1e2f4b2bb106dff9dac29f1fbecfc96531860c08311dd3ec0297

Observation d8a6e558-da00-4d2e-94a6-ad2aa7e19f64 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.525375Z

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=2026-07-08T17:24:58.991852Z digest=sha256:dc37b27d25a27a0363b03c4be706fde3179696182b4cfcbf55aca199911f8ab8

Observation cfc4c269-01d3-4324-a459-ab89ca9b9020 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.522008Z

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=2026-07-08T17:24:58.991852Z digest=sha256:3c1dbb8c5883fbed23d5ece54d79aba21393021c6af54e4255659010d4bcb346

Observation 5dca2f9e-07b1-43dd-a809-57a4ee17b3af · outbound

This paper cites Chabchoub, N.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Chabchoub, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.523729Z

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=2026-07-08T17:24:58.991852Z digest=sha256:9a67c0aa89474e423b2e64eaab85c000a4b420adc0f7840788d7c49eda943178

Observation 0829f1e6-2580-4db9-9960-e4c44491884a · outbound

This paper cites Event Soliton Formation in Mixed Energy-Momentum Gaps of Nonlinear Spacetime Crystals.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Event Soliton Formation in Mixed Energy-Momentum Gaps of Nonlinear Spacetime Crystals

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-08T17:25:12.469862Z

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=2026-07-08T17:24:58.991852Z digest=sha256:c80a4d08ca6ac7c842a6674bcf4d84f551f0d28a927b6b884dd0e88d4c90c847

Observation 673aaad7-daf2-41da-9747-2467881e8735 · outbound

This paper cites Sharabi, A.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Sharabi, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.518565Z

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=2026-07-08T17:24:58.991852Z digest=sha256:e962436b9cd436fcf7b028c25e3603ab92d29f73390456c87ea4d2a75e9d2ef3

Observation 18827fc9-b721-4254-acce-1edec7fa3d7f · outbound

This paper cites Zhang, Z.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Zhang, Z

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.520365Z

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=2026-07-08T17:24:58.991852Z digest=sha256:e89e4bcb407d3495c404185433164296a8d9bbe7dade1ec0c164452a1cc76207

Observation bb3c8666-a878-4725-ac1a-3c18956f25e8 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-08T17:25:12.467092Z

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=2026-07-08T17:24:58.991852Z digest=sha256:8386e15bb26c0bfb31f53eca8981c9e6dd39ff2612da5bcd6dbe94ba6fc6ddb0

Observation 3f35a7db-35e4-4a7f-a0b3-7643d5f9ac12 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.513050Z

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=2026-07-08T17:24:58.991852Z digest=sha256:d9e0decfdf61e254e7792974626cba2757d10571930a89559905cc3062b2d8a9

Observation 4dea468b-ad99-49c8-9947-2cf935facc93 · outbound

This paper cites Biancalana, A.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Biancalana, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.531901Z

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=2026-07-08T17:24:58.991852Z digest=sha256:db4842adb90d3d63b25909d7910c358497dc5c92fff33d6efdf8592e3ea4ba1f

Observation 6e7ae29a-30aa-4456-8029-03945cb682f7 · outbound

This paper cites Lyubarov, Y.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Lyubarov, Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.507509Z

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=2026-07-08T17:24:58.991852Z digest=sha256:84a78898b46666b37f708b55d7f82981ae0e62639c8be9fd1dc5d516f5ceed8c

Observation b5cb3938-2cb2-48c5-9336-777f0d95971a · outbound

This paper cites Pan, M.-I.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Pan, M.-I

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.499658Z

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=2026-07-08T17:24:58.991852Z digest=sha256:e6b51882019e71f156af6e1bf8771ce4cec91213ce1f5f61117db4735849be2b

Observation 168cca77-b5d5-408d-a3a6-6da11ffc2d3f · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.497739Z

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=2026-07-08T17:24:58.991852Z digest=sha256:1652e270cf7309ed5c09e92d6379c6ed87e6716589ce99b8256e840f7dafcb2f

Observation 898fb4ad-09d7-4521-84f2-caa1ed276dba · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.530282Z

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=2026-07-08T17:24:58.991852Z digest=sha256:ecb235401990f04d009366700bf83358cdf56d0501c28e61b34ccddf8fc43333

Observation e4c335d8-2688-4cf0-a1d9-74b16cef788a · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.509353Z

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=2026-07-08T17:24:58.991852Z digest=sha256:7846a5c53b91a5bc7826207365a2e6679a6e512bfa26295dc5c31310b691f791

Observation c3f4dd2e-1429-47fe-801b-1d9002e51834 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.505569Z

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=2026-07-08T17:24:58.991852Z digest=sha256:78a198f03df7dd4959739eed8762beab7ce5eb89cbca14874c4df897b7c07fa7

Observation 58d04347-985d-4b1b-bdf3-437cea14b5bc · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.511274Z

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=2026-07-08T17:24:58.991852Z digest=sha256:5b234b385d98829d937b9a79a7f07ea7b9913fbe1ccc0d8137f94ea1caaf2dc2

Observation e797f287-7fca-4827-b48f-f2ad094541c5 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.503542Z

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=2026-07-08T17:24:58.991852Z digest=sha256:249c4db3a83dd1aaae8e5aa52c1736b0dd02b60963969d5beaf082675d121edb

Observation 80f0b250-3255-4ae8-890f-db5f2e55f1e7 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.533509Z

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=2026-07-08T17:24:58.991852Z digest=sha256:b05d38825dd6a6f623247fb941a8ecd0ed1736e311ae8a9ad5dc63bebb18d96a

Observation 913423f6-6b55-4ee4-89f8-bb9f39d25dc6 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.528735Z

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=2026-07-08T17:24:58.991852Z digest=sha256:f751f44cecf62a01b31cabc385af34df2e180c4e3d76f9b2c855f9f1bf1fb5af

Observation 3a53dea4-ec8b-4d70-bbf1-cb78e1b30502 · outbound

This paper cites an unresolved cited work.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-08T17:25:12.527089Z

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=2026-07-08T17:24:58.991852Z digest=sha256:824c5c42657642c1b7b3c6e0a71cb673dbd4feaebe131c687a189b551875a71e

Observation 0a1c2eef-7087-4a97-afa8-109ce7aca55e · outbound

This paper cites Quesada and J.

Breathing k-Gap Events and Instability on Instability in Nonlinear Photonic Time Crystals Quesada and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T17:25:12.501601Z

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=2026-07-08T17:24:58.991852Z digest=sha256:28830513eabf037c28306687736d989b512a2daa90fb7370675a27df79e12849

Pith citing papers

No inbound Pith citation observations are available.