Pith Number

pith:6WSJBVJH

pith:2016:6WSJBVJHCEYJPP5XRAWIGJQSQT

not attested not anchored not stored refs pending

Group theory, entropy and the third law of thermodynamics

Bilal Canturk, G. Baris Bagci, Thomas Oikonomou

arxiv:1608.04052 v1 · 2016-08-14 · 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{6WSJBVJHCEYJPP5XRAWIGJQSQT}

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	2026-05-18T00:49:16.167948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a490d527113097bfb7882c83261284c710a1079ab9f6c941ae0a1b33989846

Aliases

arxiv: 1608.04052 · arxiv_version: 1608.04052v1 · doi: 10.48550/arxiv.1608.04052 · pith_short_12: 6WSJBVJHCEYJ · pith_short_16: 6WSJBVJHCEYJPP5X · pith_short_8: 6WSJBVJH

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/6WSJBVJHCEYJPP5XRAWIGJQSQT \
  | 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: f5a490d527113097bfb7882c83261284c710a1079ab9f6c941ae0a1b33989846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be63be3dfcc90ccfa4198c53f670b4f97e75695da90cab9675a8747a5bcd568a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-08-14T02:45:46Z",
    "title_canon_sha256": "f5e6a3d6569925d4dbea7c66c3b0b0c292aac89b4fc3435020b288782c571320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04052",
    "kind": "arxiv",
    "version": 1
  }
}