Pith. sign in

Paper Citation Record · LEDGER

Exact flat bands in a 3D photonic crystal

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2607.05942.

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

pith.paper-citation-record.v1
2607.05942 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T20:05:58.394870Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-08T20:05:58.394870Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T20:15:34.415966Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2646a35-bbfa-4052-8e1f-0c5f6e8f334a · outbound

This paper cites Exact flat bands in a 3D photonic crystal.

Exact flat bands in a 3D photonic crystal Exact flat bands in a 3D photonic crystal

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-08T20:15:34.417146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:8b44b1f0d2c93d5b4240b8f75a666b9d0e6dc3bdd59e74515efa484263821f4a

Observation 11862a37-1b89-42b6-8858-91aa00f7dd3f · outbound

This paper cites Equation (A3) is then exactly the eigen- problem (2) with the operator (7) and band frequencies Ωn/Ω0 = √1−gλ n.

Exact flat bands in a 3D photonic crystal Equation (A3) is then exactly the eigen- problem (2) with the operator (7) and band frequencies Ωn/Ω0 = √1−gλ n

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.950149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:4e4d06af45d98dafd72160a56013121848a535cf8a3cbd57918550c6e1b5e6c8

Observation 6183917e-ddda-4a60-8f7e-4722d591fb25 · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.951998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:f4d1295f27e4cbd01cffd9c10d4abafc0aadda75b859bab47b87af9d96ceb073

Observation 8d4b8015-9485-441f-9fed-5246514bb20d · outbound

This paper cites Artificial flat band systems: from lattice models to experiments,.

Exact flat bands in a 3D photonic crystal Artificial flat band systems: from lattice models to experiments,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.955549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:5cdffe4073bdc1e5319e6e1f8aff56565ef5305da16bf80d9b483bf371534dfa

Observation a349fff7-af15-45ed-bbb6-dac81bb30cb1 · outbound

This paper cites Com- pact localized states and flat bands from local symmetry partitioning,.

Exact flat bands in a 3D photonic crystal Com- pact localized states and flat bands from local symmetry partitioning,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.957450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:ca92f47a7ff851209fd9a0aff1084ef06a7b56c860333bb3daedc38a0c15bf1b

Observation 654004ad-92df-44c6-a493-25895bc5353a · outbound

This paper cites Transversality-enforced tight- binding models for three-dimensional photonic crystals,.

Exact flat bands in a 3D photonic crystal Transversality-enforced tight- binding models for three-dimensional photonic crystals,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.948246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:de2fd2639dff379af26b9c3d8b3389b62ca3399d1e26bd5b6411dd1fd15e8ffd

Observation 4848c7e4-dc7a-404a-8c70-8105905e6ea6 · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.959478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:e69757c2dad75d3f1e0e77fdd433248023a2e4ef8d5c0353b1574166057c33e9

Observation 13e6eaf1-1d74-4c00-a27b-a3f3530ff142 · outbound

This paper cites Topological quantum chemistry,.

Exact flat bands in a 3D photonic crystal Topological quantum chemistry,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.942907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:9d4ca8eccc0844a157112b520af0cebd8885d67c8eeec742b4ac74019b946418

Observation 7d8fb143-ae73-44d4-b5ec-0fa932f88254 · outbound

This paper cites Space group theory of photonic bands,.

Exact flat bands in a 3D photonic crystal Space group theory of photonic bands,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.944660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:b69734cfd3e749bf006c8c29c98a90ee4c765596ce928f228eac56224a57312d

Observation d6a7150c-c9c6-4455-9257-7a1faa4942f0 · outbound

This paper cites Topological photonics,.

Exact flat bands in a 3D photonic crystal Topological photonics,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.946526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:6fe6e4c39284e1b211d8ebbfd9eac26756f8cf0191099962f73d3304b6599510

Observation 8f344109-f76d-4e8b-b62a-9a40310d03a7 · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.937943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:e14659ba5dbe449a159722b1274a7ff7659e1cc8b4f26fe699ea9a1af9c11c73

Observation 42f65953-f16d-485a-84b7-55f8d7ec23e4 · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.939641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:6a2fedd72a67ee65dbd76e4b1ab0f4c6a89b41a952ec0bf74a2b9402530c529d

Observation 48960e0a-8b5d-438f-82c0-36c81b12b014 · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.941150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:a6d7bf512348c19dc5c50f80492c25ad637777a3a47f93427941b57d702983aa

Observation a000b80c-e1e4-49f4-8c59-7b28c0b55ded · outbound

This paper cites Reso- nant scattering characteristics of homogeneous dielectric sphere,.

Exact flat bands in a 3D photonic crystal Reso- nant scattering characteristics of homogeneous dielectric sphere,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.933622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:422028edf8b34ab4f32041590b1b2a60f4b78757e77f3590887aeba5d92e9b29

Observation 32195940-91d5-47f1-aef6-a3e1983847a5 · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.935365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:372ace8d5b1cd33979711ad2e90363fbb98ea52625e665ae195aca5cc4043000

Observation f5ff9559-5b8c-4a06-9090-9e767f0921ac · outbound

This paper cites an unresolved cited work.

Exact flat bands in a 3D photonic crystal Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-08T20:25:37.961082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:e53a7b62248d1023bf44e756de6a0633e37db07831cd19b9354e30883ed486b6

Observation 555793fd-0365-4a12-8a00-997a5d1806c9 · outbound

This paper cites Microwave electronics,.

Exact flat bands in a 3D photonic crystal Microwave electronics,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.962566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:0b981fcb19991f5879d754f29422d8b303a07eed7dfff4bc4affb594add75f05

Observation 769d000f-6af3-4d02-acbb-9adb5da0417f · outbound

This paper cites Discrete-dipole approx- imation for scattering calculations,.

Exact flat bands in a 3D photonic crystal Discrete-dipole approx- imation for scattering calculations,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.953706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:0a2015da3de105c05827aece4bbc259032a15bb3b082629e3da46406a14eed14

Observation 535311c1-2d4d-4d07-8464-527e6d639426 · outbound

This paper cites The discrete dipole approximation: an overview and recent developments,.

Exact flat bands in a 3D photonic crystal The discrete dipole approximation: an overview and recent developments,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.929980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:3eaf908d3b5bd889ff44eec9bbfea413c9d255241c68cb9b6d47f0a2c089c1fb

Observation 16111ec8-42cf-43fd-ae2c-dc1d4c4f44a9 · outbound

This paper cites Highly degenerate photonic flat bands arising from complete graph configurations,.

Exact flat bands in a 3D photonic crystal Highly degenerate photonic flat bands arising from complete graph configurations,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.927879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:18ea0750cbe010304e41fb75d2c4de53c6d28b338734d56671f15245f36f46cb

Observation 2efae20c-ac46-4c2a-a175-95b2f66b903f · outbound

This paper cites Design of full-k-space flat bands in photonic crystals beyond the tight-binding picture,.

Exact flat bands in a 3D photonic crystal Design of full-k-space flat bands in photonic crystals beyond the tight-binding picture,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T20:25:37.931596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:7939934f79829a22eda4997845fd50b4ef2d9b99a1abd0c376e10bf0663ecd90

Pith citing papers

Observation d2646a35-bbfa-4052-8e1f-0c5f6e8f334a · inbound

Exact flat bands in a 3D photonic crystal cites this paper.

Exact flat bands in a 3D photonic crystal Exact flat bands in a 3D photonic crystal

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-08T20:15:34.417146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T20:05:58.394870Z digest=sha256:8b44b1f0d2c93d5b4240b8f75a666b9d0e6dc3bdd59e74515efa484263821f4a