Pith. sign in

Paper Citation Record · LEDGER

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond

As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.11519.

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

pith.paper-citation-record.v1
2505.11519 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:16:52.732966Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6cb10944-9ffa-49cb-81ed-0a1011763344 · outbound

This paper cites The name ‘photon’ for light quantum was coined much l ater by the remarkable chemist G .N.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond The name ‘photon’ for light quantum was coined much l ater by the remarkable chemist G .N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:53.012691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.654029Z digest=sha256:a9ba62d1cb1b2d40f05ddbeecaa92a03b808dd848cc3ae2dc72a3cbaa446762a

Observation e587de00-9d9b-4867-bdd0-30d82b1d3b00 · outbound

This paper cites 𝜌(𝜈, 𝑇) = 2 × 4𝜋ℎ𝜈3 𝑐3 1 𝑒 ( ℎ𝜈 𝐾𝐵𝑇) − 1 Planck's derivation involved three key steps:.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond 𝜌(𝜈, 𝑇) = 2 × 4𝜋ℎ𝜈3 𝑐3 1 𝑒 ( ℎ𝜈 𝐾𝐵𝑇) − 1 Planck's derivation involved three key steps:

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.996176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.660125Z digest=sha256:1f217721da7a33027af5a02b73eaf1f02902e8f90642f34e22d84fe87fb081f8

Observation e45bf4eb-0d7a-47d8-8405-1c68bc231588 · outbound

This paper cites 𝑈𝜈 = ℎ𝜈 𝑒ℎ𝜈/𝐾𝐵𝑇 − 1.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond 𝑈𝜈 = ℎ𝜈 𝑒ℎ𝜈/𝐾𝐵𝑇 − 1

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.980374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.664949Z digest=sha256:e864114a0d1122713075d512fd420188dd72720c8c127efc5be3c68ec4ea9a72

Observation 23d3284b-7816-42a9-bdc3-b61328d12984 · outbound

This paper cites 𝑆 = 𝐾𝐵 [(1 + 𝑈𝜈 ℎ𝜈) 𝑙𝑛 (1 + 𝑈𝜈 ℎ𝜈) − 𝑈𝜈 ℎ𝜈 𝑙𝑛 𝑈𝜈 ℎ𝜈].

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond 𝑆 = 𝐾𝐵 [(1 + 𝑈𝜈 ℎ𝜈) 𝑙𝑛 (1 + 𝑈𝜈 ℎ𝜈) − 𝑈𝜈 ℎ𝜈 𝑙𝑛 𝑈𝜈 ℎ𝜈]

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.965362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.670927Z digest=sha256:7a7a941983cfdfcb8f2d5037c4989f1fc93c7c3c0dee936a21735b624e874049

Observation 11333401-c0ed-434e-8214-f4d118fb70b4 · outbound

This paper cites receptacles of energy.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond receptacles of energy

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.950165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.675677Z digest=sha256:8d6d136f967d11dbcfd9629979edf824878dc1a48f5c1fdf78c3d97336be4feb

Observation e60a5cd9-7a0b-46d6-892b-b3cc9cc3f048 · outbound

This paper cites an unresolved cited work.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:16:52.935768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.680679Z digest=sha256:6996ac793b2c5731003c2af4124a8a8c7a25fcf75164f106f690893e861df56c

Observation 5554290a-0d66-4184-b4a8-335489d0c489 · outbound

This paper cites an unresolved cited work.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:16:52.906882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.690568Z digest=sha256:852c103813f5677de929ae11228b6d71ead6f12a72cab093c639ec458cd3c120

Observation 09063106-e8bf-4a2e-b39d-c0cb8404f47f · outbound

This paper cites (19) (20) (21) (22) 15.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond (19) (20) (21) (22) 15

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.892673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.695608Z digest=sha256:e077ffeffe1bfb8fb42a29999d9eba8da28efe7181eef34157c03442d3ff2399

Observation 8bdb90fe-9b07-44d5-9c7e-e003b7af1a2e · outbound

This paper cites Bose was disappointed by these comments and, on January 27, 1925, he sent Einstein a rebuttal, saying:.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Bose was disappointed by these comments and, on January 27, 1925, he sent Einstein a rebuttal, saying:

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.877603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.700593Z digest=sha256:3a6ddc479aa4589140ff7f8fc209fb53174fa3bbea71eb0992f4018802f09f32

Observation c090a6c1-aa02-4fca-9434-c74148a88561 · outbound

This paper cites an unresolved cited work.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:16:52.862942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.706031Z digest=sha256:2c386412c6e339b2c6b541cb0f35d7075e23126141ab7e215baf6c8c0dcabb9d

Observation 9300f58e-27cb-4075-9bde-698d6ec98240 · outbound

This paper cites Satyendra Nath Bose National Centre for Basic Sciences.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Satyendra Nath Bose National Centre for Basic Sciences

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.847354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.710846Z digest=sha256:e88faf72543fa5f9ccf5d9cedee71122d4bb7adca27692d8995581900fb0dd01

Observation 341c4317-5be8-493b-be5a-fcae777d5660 · outbound

This paper cites an unresolved cited work.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:16:52.830134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.715292Z digest=sha256:bee03ebb54156a5a9814772a40a3d1710067452c32bca1c2ef13f765c6808744

Observation 848a6802-afa9-4ce1-8c89-7644b373f4c7 · outbound

This paper cites Chatterjee, S.N.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Chatterjee, S.N

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.815075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.719813Z digest=sha256:13bc105ab2384c78b3857d7e39d1ba96a7aab03303637daf4364542745fa4aa8

Observation 4627c82e-e709-40a1-a7ac-1014b794d44a · outbound

This paper cites Who discovered angular momentum of the photon,.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Who discovered angular momentum of the photon,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.799935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.724314Z digest=sha256:4bc672193321a38ec4a1a8e507c775c61bf6e198ceccf9c9abf8346fbbd2da0e

Observation 7e0cb109-e4fa-442e-bdba-37f5b44f5e9b · outbound

This paper cites an unresolved cited work.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:16:52.785047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.728843Z digest=sha256:43e590061d991254dbcade21e71601e7a7b72aaeb76ce268b25ec3995ab10e29

Observation febf4080-19e6-4a58-9f34-acc4e76f4cc8 · outbound

This paper cites Planck's law and the light quantum hypothesis,.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Planck's law and the light quantum hypothesis,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:16:52.769794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.732966Z digest=sha256:4bc62b55503eafca8accbbb0598c2ce1a9336204b29d6580dc5792e0ec95c434

Observation 612c2497-a912-46b8-b552-81ed2270b53f · outbound

This paper cites an unresolved cited work.

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond Unresolved cited work

Reference 1909

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:16:52.921059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T23:16:52.685924Z digest=sha256:915f4218f25874988ef3f6dfef0775ab136560943d66036eabf27c0904a96b31

Pith citing papers

No inbound Pith citation observations are available.