Pith Number

pith:SO3ZTEU5

pith:2024:SO3ZTEU5XQEVLE6HI2YLSHYKWG

not attested not anchored not stored refs pending

On the Field Theoretical Description of an Alternative Model to Generalized Chaplygin Gas and its Thermodynamic Behaviour

Anirudh Pradhan, Banadipa Chakraborty, Tamal Mukhopadhyay, Ujjal Debnath

arxiv:2412.12200 v2 · 2024-12-14 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO3ZTEU5XQEVLE6HI2YLSHYKWG}

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	2026-07-05T10:26:42.265437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b799929dbc095593c746b0b91f0ab1a81b9dc83e7730d236ffe23b75db3c99

Aliases

arxiv: 2412.12200 · arxiv_version: 2412.12200v2 · doi: 10.48550/arxiv.2412.12200 · pith_short_12: SO3ZTEU5XQEV · pith_short_16: SO3ZTEU5XQEVLE6H · pith_short_8: SO3ZTEU5

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/SO3ZTEU5XQEVLE6HI2YLSHYKWG \
  | 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: 93b799929dbc095593c746b0b91f0ab1a81b9dc83e7730d236ffe23b75db3c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbd68f369c267c27ad8c845bc71048cd35f72da42bdc463716aae17700911de",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-14T23:19:56Z",
    "title_canon_sha256": "8f9abe6d4ec70f1fd6461e1fb5cd4bccd4a000c196d27aa768bc00251139076e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12200",
    "kind": "arxiv",
    "version": 2
  }
}