Pith Number

pith:QGNUQ5L6

pith:2017:QGNUQ5L6K6VNG4FEQK7PCIN6YI

not attested not anchored not stored refs pending

Entropy of a box of gas in an external gravitational field $-$ revisited

Sourav Bhattacharya, Sumanta Chakraborty, T. Padmanabhan

arxiv:1702.08723 v2 · 2017-02-28 · 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{QGNUQ5L6K6VNG4FEQK7PCIN6YI}

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

1 paper in Pith

A note on entropy of matter in presence of gravity: status of extensivity of entropy

Receipt and verification

First computed	2026-05-18T00:32:11.513355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d

Aliases

arxiv: 1702.08723 · arxiv_version: 1702.08723v2 · doi: 10.48550/arxiv.1702.08723 · pith_short_12: QGNUQ5L6K6VN · pith_short_16: QGNUQ5L6K6VNG4FE · pith_short_8: QGNUQ5L6

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/QGNUQ5L6K6VNG4FEQK7PCIN6YI \
  | 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: 819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999d55d477cf924285277fc845b8cc4b8db54735fb71007466fa3ab32fb9ceff",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-02-28T10:06:59Z",
    "title_canon_sha256": "11bf36d32e2a524041ab58e2b237f07b0d1ba2ddb7d29bd41866e8a530f5b1fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08723",
    "kind": "arxiv",
    "version": 2
  }
}