Paper Citation Record · LEDGER

The Nature of Phantom Dark Energy and its Relation to Time Crystals

As of 10 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2502.08894.

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

pith.paper-citation-record.v1
2502.08894 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:30:44.919976Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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 exact0
verified fuzzy7
unresolved15
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ea7c5d0f-651a-4ee3-88c3-b9a258a5572a · outbound

This paper cites ( 4), in the general non- canonical case the speed of sound is: C2 s = g′(X) (g′(X) + 2Xg ”(X)) (12) The stability condition requires that the speed of sound is positive, C2 s > 0.

The Nature of Phantom Dark Energy and its Relation to Time Crystals ( 4), in the general non- canonical case the speed of sound is: C2 s = g′(X) (g′(X) + 2Xg ”(X)) (12) The stability condition requires that the speed of sound is positive, C2 s > 0

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.200195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5714d3db-9c85-475f-8c08-a2870d0bf4de · outbound

This paper cites an unresolved cited work.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:30:45.357554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7c8c3638-7777-4306-893a-91a214e4dc7a · outbound

This paper cites ( 4), that H will be a multi-valued func- tion of ( ˙φ ,φ) indicating the existence of orbits, with solu- tions ˙φ ⁄= 0, along which the kinetic energy is minimized.

The Nature of Phantom Dark Energy and its Relation to Time Crystals ( 4), that H will be a multi-valued func- tion of ( ˙φ ,φ) indicating the existence of orbits, with solu- tions ˙φ ⁄= 0, along which the kinetic energy is minimized

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.309849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b014fbba-147a-4b02-97b0-4fa0de777758 · outbound

This paper cites Perturbations in k-inflation.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Perturbations in k-inflation

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.887590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68c61802-6a0c-408e-866a-82d7de00acb7 · outbound

This paper cites In the general case, independently of the potential V (φ), solutions of Eqn.

The Nature of Phantom Dark Energy and its Relation to Time Crystals In the general case, independently of the potential V (φ), solutions of Eqn

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.239859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a87f654-378f-41dc-986f-c28e01ca8bad · outbound

This paper cites an unresolved cited work.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:30:45.465195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e855ca10-d0e4-4473-b87a-780157fac092 · outbound

This paper cites Here we would like to understand whether our results 3 are completely general for any choice of potential energy or whether the potential needs to be ﬁne tuned to spe- ciﬁc cases.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Here we would like to understand whether our results 3 are completely general for any choice of potential energy or whether the potential needs to be ﬁne tuned to spe- ciﬁc cases

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.218463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0bd8ccff-9a4c-4a2f-8ce6-6dcb79ec8d9e · outbound

This paper cites an unresolved cited work.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:30:45.208899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f3b9b8dd-c760-4449-957c-9a6cd04cd6be · outbound

This paper cites In general we can expand any non- linear function as a series expansion g(X) = Σ α nX n for n = 1, 2, 3, 4.

The Nature of Phantom Dark Energy and its Relation to Time Crystals In general we can expand any non- linear function as a series expansion g(X) = Σ α nX n for n = 1, 2, 3, 4

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.265231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 49779889-b6e0-4db5-ae4c-ae98746450c9 · outbound

This paper cites A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration.

The Nature of Phantom Dark Energy and its Relation to Time Crystals A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.877834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 748bf2fb-3e74-48db-85ec-74da4efa937f · outbound

This paper cites Kinetically Driven Quintessence.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Kinetically Driven Quintessence

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.881320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57afc2f0-0b05-42d6-a84e-ecc5ff555548 · outbound

This paper cites Essentials of k-essence.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Essentials of k-essence

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.884371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac45ebeb-2b6f-466e-bb5a-f54473e1b77d · outbound

This paper cites The State of the Dark Energy Equation of State.

The Nature of Phantom Dark Energy and its Relation to Time Crystals The State of the Dark Energy Equation of State

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.890940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22c417d9-de99-4736-a727-2bf0378d16fc · outbound

This paper cites Classical Time Crystals.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Classical Time Crystals

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.894264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e1c746d-a6fa-4e1f-b500-87c5a10b66b4 · outbound

This paper cites Quantum Time Crystals.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Quantum Time Crystals

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.897538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ded2b2a4-99fa-41df-a1bc-ff5a133a09e3 · outbound

This paper cites Time crystals: a review.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Time crystals: a review

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.900578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2afcefe-aebd-4104-bc6a-763e6b6f2491 · outbound

This paper cites Measuring the Speed of Sound of Quintessence.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Measuring the Speed of Sound of Quintessence

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.903646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7429832-fb1b-4427-ad7e-852c2f426185 · outbound

This paper cites Cosmological implications of baryon acoustic oscillation (BAO) measurements.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Cosmological implications of baryon acoustic oscillation (BAO) measurements

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.906696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98b9538e-f4ae-454b-84cf-aa2e73c40c0c · outbound

This paper cites Mersini-Houghton Dark Energy from Time Crystals with referee (2024).

The Nature of Phantom Dark Energy and its Relation to Time Crystals Mersini-Houghton Dark Energy from Time Crystals with referee (2024)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.190357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ac01eee0-c334-4677-a947-ea04a53cdacd · outbound

This paper cites Phantom Energy and Cosmic Doomsday.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Phantom Energy and Cosmic Doomsday

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T23:30:44.913458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10bf78cb-2270-4213-b99a-f2945fd79528 · outbound

This paper cites Jorge, J.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Jorge, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:30:45.138212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 47c27baf-c64c-46b6-8a3e-6e56558754c4 · outbound

This paper cites an unresolved cited work.

The Nature of Phantom Dark Energy and its Relation to Time Crystals Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:30:45.069945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.