Pith Number

pith:U4FRXG2E

pith:2012:U4FRXG2EYYW3HQE5ZFJVRTO37Q

not attested not anchored not stored refs pending

Expanding Universe: Thermodynamical Aspects From Different Models

Ritabrata Biswas, Sridip Pal

arxiv:1206.6333 v1 · 2012-06-20 · physics.gen-ph · 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{U4FRXG2EYYW3HQE5ZFJVRTO37Q}

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	2026-05-18T02:25:32.902684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70b1b9b44c62db3c09dc95358cddbfc0daf11171f162410cb9187e914385060

Aliases

arxiv: 1206.6333 · arxiv_version: 1206.6333v1 · doi: 10.48550/arxiv.1206.6333 · pith_short_12: U4FRXG2EYYW3 · pith_short_16: U4FRXG2EYYW3HQE5 · pith_short_8: U4FRXG2E

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/U4FRXG2EYYW3HQE5ZFJVRTO37Q \
  | 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: a70b1b9b44c62db3c09dc95358cddbfc0daf11171f162410cb9187e914385060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa0c0ce219d7d49178c9630dcce7e41f285305882b7938ed673f1c03ba40b52",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-06-20T15:15:54Z",
    "title_canon_sha256": "d865d747e9e6785c2fea9c0e80b768db8efd36bbda88ec2416291f88ff5f75d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6333",
    "kind": "arxiv",
    "version": 1
  }
}