Pith Number

pith:5523GW2L

pith:2011:5523GW2LGKTHIITSXCGD37WLA3

not attested not anchored not stored refs pending

Macroscopic form of the first law of thermodynamics for an adiabatically evolving non-singular self-gravitating fluid

Abhas Mitra

arxiv:1105.0326 v1 · 2011-04-29 · physics.gen-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5523GW2LGKTHIITSXCGD37WLA3}

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	2026-05-18T04:16:40.662191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef75b35b4b32a6742272b88c3dfecb06c0c8ba2cc5f2823ca25ca06c97e34334

Aliases

arxiv: 1105.0326 · arxiv_version: 1105.0326v1 · doi: 10.48550/arxiv.1105.0326 · pith_short_12: 5523GW2LGKTH · pith_short_16: 5523GW2LGKTHIITS · pith_short_8: 5523GW2L

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/5523GW2LGKTHIITSXCGD37WLA3 \
  | 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: ef75b35b4b32a6742272b88c3dfecb06c0c8ba2cc5f2823ca25ca06c97e34334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2094d20167580b7086e63092e2bd7dae4c30c6b6a545e9ffbf311ad7822e1e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-04-29T11:57:46Z",
    "title_canon_sha256": "c2f1eb564de8628cce2771461b7b757f1ac4ff7556aec91956f844b1b8703e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0326",
    "kind": "arxiv",
    "version": 1
  }
}