Pith Number

pith:2AINCN6O

pith:2012:2AINCN6O4JAO5HY22TIFNBEXOA

not attested not anchored not stored refs pending

The microscopic origin of thermodynamic entropy in isolated systems

Auditya Sharma, Haibin Li, J. M. Deutsch

arxiv:1202.2403 v1 · 2012-02-11 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AINCN6O4JAO5HY22TIFNBEXOA}

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	2026-05-18T03:26:23.276118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d010d137cee240ee9f1ad4d0568497703b64c808b82f2f2b5c251add507b794f

Aliases

arxiv: 1202.2403 · arxiv_version: 1202.2403v1 · doi: 10.48550/arxiv.1202.2403 · pith_short_12: 2AINCN6O4JAO · pith_short_16: 2AINCN6O4JAO5HY2 · pith_short_8: 2AINCN6O

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/2AINCN6O4JAO5HY22TIFNBEXOA \
  | 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: d010d137cee240ee9f1ad4d0568497703b64c808b82f2f2b5c251add507b794f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df8b7fc8bb4c7597e1a0a60dd747a98cfd50034610f8b0a06d781b4b2ca7c57",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-11T02:35:31Z",
    "title_canon_sha256": "2403c44e1b25c08e888758b85ba5eb1394c054b7f7c97ebdcb71926516051267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2403",
    "kind": "arxiv",
    "version": 1
  }
}