Pith Number

pith:L5J4NQ62

pith:2026:L5J4NQ62OZAFS3LXBKQSYQ2EBJ

not attested not anchored not stored refs pending

Thermodynamic constraints and future singularities in Unimodular Gravity driven by phantom and non-phantom fluids

Guillermo Palma, Miguel Cruz, Norman Cruz, Samuel Lepe

arxiv:2603.22749 v2 · 2026-03-24 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5J4NQ62OZAFS3LXBKQSYQ2EBJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Spatial curvature in Unimodular Gravity

Comment on Cosmological constraints on unimodular gravity models with diffusion (arXiv:2211.07424): thermodynamic inadmissibility of the H0 tension resolution mechanism

Receipt and verification

First computed	2026-06-19T16:10:36.626956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f53c6c3da7640596d770aa12c43440a7f56f7917ac52af8ec233f319ad43f64

Aliases

arxiv: 2603.22749 · arxiv_version: 2603.22749v2 · doi: 10.48550/arxiv.2603.22749 · pith_short_12: L5J4NQ62OZAF · pith_short_16: L5J4NQ62OZAFS3LX · pith_short_8: L5J4NQ62

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L5J4NQ62OZAFS3LXBKQSYQ2EBJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5f53c6c3da7640596d770aa12c43440a7f56f7917ac52af8ec233f319ad43f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd27fdd9a7ac5fa4d1bc7f2b1c2a4fa73262a85496fb7f6544244b18ea458e4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-24T03:24:44Z",
    "title_canon_sha256": "1ebcb28909e6fa1083c196a81a130aea0294f5bf599d3b66d91d195c0c04bc50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.22749",
    "kind": "arxiv",
    "version": 2
  }
}