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Paper Citation Record · LEDGER

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition

As of 20 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2501.16363.

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

pith.paper-citation-record.v1
2501.16363 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:06:42.395271Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

8 of 8 outbound references displayed

  • verified exact3
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4309114c-005d-475f-9264-e496a51edf62 · outbound

This paper cites Attard, ``Quantum Statistical Mechanics: Equilibrium and Non-Equilibrium Theory from First Principles'', (IOP Publishing, Bristol, 2015).

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Attard, ``Quantum Statistical Mechanics: Equilibrium and Non-Equilibrium Theory from First Principles'', (IOP Publishing, Bristol, 2015)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:06:42.543832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.361809Z digest=sha256:bdf9d49843efb4a2c9de9a17dc05ce9ac47d10330a0f5746e446ae822766650a

Observation de6f451b-90d5-436f-bcdc-49cf6c622e25 · outbound

This paper cites Quantum Statistical Mechanics in Classical Phase Space. Expressions for the Multi-Particle Density, the Average Energy, and the Virial Pressure.

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Quantum Statistical Mechanics in Classical Phase Space. Expressions for the Multi-Particle Density, the Average Energy, and the Virial Pressure

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:06:42.475307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.367054Z digest=sha256:9fbb845026803fe7166caa60a793447abe260d2818af5d2c45a1569d5a7cb747

Observation 747a925a-812d-41ae-8b83-0401bb0e172b · outbound

This paper cites Attard, Quantum Statistical Mechanics in Classical Phase Space, (IOP Publishing, Bristol, 2021).

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Attard, Quantum Statistical Mechanics in Classical Phase Space, (IOP Publishing, Bristol, 2021)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:06:42.529405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.372607Z digest=sha256:7d349ffb53edf6d5703af01d4cb9f8d55ca776f372a4c3dd0b587bd7f52f0eab

Observation b883a508-8239-4d38-9fca-0f7ce2c7df6c · outbound

This paper cites Bose-Einstein Condensation, the Lambda Transition, and Superfluidity for Interacting Bosons.

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Bose-Einstein Condensation, the Lambda Transition, and Superfluidity for Interacting Bosons

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:06:42.458460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.376995Z digest=sha256:eae3abadeeb810d303141a711cd1e930269b6be532cd6f78b0e6c83e9469464f

Observation fb243093-36be-4f67-8b2a-e740b33e2d8b · outbound

This paper cites Attard, ``Entropy Beyond the Second Law.

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Attard, ``Entropy Beyond the Second Law

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:06:42.514848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.382076Z digest=sha256:72b851297a313da131a056bcd99b77cd3f6141d832ffd810c5340fe22750f3bd

Observation d795523e-a893-47c4-bdaf-1c1671465c49 · outbound

This paper cites Quantum Stochastic Molecular Dynamics Simulations of the Viscosity of Superfluid Helium.

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Quantum Stochastic Molecular Dynamics Simulations of the Viscosity of Superfluid Helium

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:06:42.436906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.386411Z digest=sha256:6079d94f60f4e0b925f0fd34f574787cfd3b2d07fbc6868cf1e23d16ce586c31

Observation da4ce970-81b3-4527-84df-15fa80681518 · outbound

This paper cites Messiah Quantum Mechanics (Vol 1 and 2) (North-Holland, Amsterdam, 1961).

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Messiah Quantum Mechanics (Vol 1 and 2) (North-Holland, Amsterdam, 1961)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:06:42.500910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.390990Z digest=sha256:3c924cdc646b05fc78a0ec0ec981c7f1b83655357fbd3307fa43fd9c15857ffb

Observation a98b2b7c-bedb-4bf6-97eb-28bd1a054ea3 · outbound

This paper cites Merzbacher, Quantum Mechanics 2nd edn (Wiley, New York, 1970).

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition Merzbacher, Quantum Mechanics 2nd edn (Wiley, New York, 1970)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:06:42.487952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T17:06:42.395271Z digest=sha256:2c6212829f704b06b827f83ecd66458ec43d0c2e0a722eeee43c3b7bd80bad4b

Pith citing papers

No inbound Pith citation observations are available.