Pith Number

pith:EAYSLJMF

pith:2026:EAYSLJMF2DWUNSZHVLUN2J3B7F

not attested not anchored not stored refs pending

Entropic Chaplygin-Gas cosmology and late-universe tension diagnostics

Abra\~ao J. S.Capistrano, Carlos H. Coimbra-Ara\'ujob, Jos\'e A. P. F. Mar\~ao, Kelvis A. Kulhkampa, Luiz A. Cabral

arxiv:2607.22802 v1 · 2026-07-24 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAYSLJMF2DWUNSZHVLUN2J3B7F}

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.

Receipt and verification

First computed	2026-07-28T00:21:55.230164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203125a585d0ed46cb27aae8dd2761f94caf6e1e8e8d1e500955b2fc0f5962e8

Aliases

arxiv: 2607.22802 · arxiv_version: 2607.22802v1 · doi: 10.48550/arxiv.2607.22802 · pith_short_12: EAYSLJMF2DWU · pith_short_16: EAYSLJMF2DWUNSZH · pith_short_8: EAYSLJMF

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/EAYSLJMF2DWUNSZHVLUN2J3B7F \
  | 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: 203125a585d0ed46cb27aae8dd2761f94caf6e1e8e8d1e500955b2fc0f5962e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcc7320fd4b10dbf650c5b1c825adad82d14e761ca5ff10655936a4da44f00e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-24T15:10:53Z",
    "title_canon_sha256": "9948476b5f93ac8bd6f6fc44bb3677b51b275cd1acf23d547ade037ecfe5700b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22802",
    "kind": "arxiv",
    "version": 1
  }
}