Pith Number

pith:VPSHQGG7

pith:2019:VPSHQGG7VL5SUXYYDX32UEJEML

not attested not anchored not stored refs pending

The Generalized Boltzmann Distribution is the Only Distribution in Which the Gibbs-Shannon Entropy Equals the Thermodynamic Entropy

Adrian E. Roitberg, Emilio Gallicchio, Xiang Gao

arxiv:1903.02121 v2 · 2019-03-06 · 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{VPSHQGG7VL5SUXYYDX32UEJEML}

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	2026-05-17T23:39:54.787472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe47818dfaafb2a5f181df7aa112462ce3646e9398cdfa109b3723af33d637d

Aliases

arxiv: 1903.02121 · arxiv_version: 1903.02121v2 · doi: 10.48550/arxiv.1903.02121 · pith_short_12: VPSHQGG7VL5S · pith_short_16: VPSHQGG7VL5SUXYY · pith_short_8: VPSHQGG7

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/VPSHQGG7VL5SUXYYDX32UEJEML \
  | 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: abe47818dfaafb2a5f181df7aa112462ce3646e9398cdfa109b3723af33d637d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b53f42af6323e405e91b17ee4b3e99c009d926aa78e19ad2c11d924bc293b40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-03-06T00:00:11Z",
    "title_canon_sha256": "07a455fb9a8bd6baf054fc3c62366d50c6516d966a9073a0a555e0c93fe30a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02121",
    "kind": "arxiv",
    "version": 2
  }
}