Pith Number

pith:D2XM62C7

pith:2010:D2XM62C7OJ2DG3PHP6CNSMANXT

not attested not anchored not stored refs pending

Ideal Gas in a strong Gravitational field: Area dependence of Entropy

Sanved Kolekar, T. Padmanabhan

arxiv:1012.5421 v2 · 2010-12-24 · 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{D2XM62C7OJ2DG3PHP6CNSMANXT}

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	2026-05-18T04:24:54.133589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eaecf685f7274336de77f84d9300dbcd39b8599c1a57db070ec3a241e7b4844

Aliases

arxiv: 1012.5421 · arxiv_version: 1012.5421v2 · doi: 10.48550/arxiv.1012.5421 · pith_short_12: D2XM62C7OJ2D · pith_short_16: D2XM62C7OJ2DG3PH · pith_short_8: D2XM62C7

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/D2XM62C7OJ2DG3PHP6CNSMANXT \
  | 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: 1eaecf685f7274336de77f84d9300dbcd39b8599c1a57db070ec3a241e7b4844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae49c1eb39f3a19d10cb23bd7c2b577a99c0b65327ab7363630537cb2491895a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-24T18:52:02Z",
    "title_canon_sha256": "d099b1c24a30246b3409f496839c5a4006611b4fbba9c35262ee95bb814f9cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5421",
    "kind": "arxiv",
    "version": 2
  }
}