Pith Number

pith:CVZR4SBK

pith:2010:CVZR4SBKPVCDAA7YASG5HI4UXQ

not attested not anchored not stored refs pending

Geometric Approach to Quantum Statistical Mechanics and Minimal Area Principle

Shoichi Ichinose

arxiv:1004.2573 v2 · 2010-04-15 · hep-th · 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{CVZR4SBKPVCDAA7YASG5HI4UXQ}

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	2026-05-18T04:25:03.171726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15731e482a7d443003f8048dd3a394bc31bb7f2bd28c3a805880fb96da54fe3e

Aliases

arxiv: 1004.2573 · arxiv_version: 1004.2573v2 · doi: 10.48550/arxiv.1004.2573 · pith_short_12: CVZR4SBKPVCD · pith_short_16: CVZR4SBKPVCDAA7Y · pith_short_8: CVZR4SBK

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/CVZR4SBKPVCDAA7YASG5HI4UXQ \
  | 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: 15731e482a7d443003f8048dd3a394bc31bb7f2bd28c3a805880fb96da54fe3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342a8bb46a5457318d200b447011ec493dddba068f92112191265f0a84bf12e8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-15T08:05:59Z",
    "title_canon_sha256": "41579cd3fadaf0ed89ad0937241b4d943dc85a4b0eeeb297e223622bf27b13c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2573",
    "kind": "arxiv",
    "version": 2
  }
}