Pith Number

pith:3R6FMPZF

pith:2019:3R6FMPZFKUJ6S2UTIS3ZXYVT6U

not attested not anchored not stored refs pending

The second law of thermodynamics from concavity of energy eigenvalues

C. Itoi, M. Amano

arxiv:1911.01693 v4 · 2019-11-05 · cond-mat.stat-mech · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3R6FMPZFKUJ6S2UTIS3ZXYVT6U}

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	2026-07-05T01:32:42.310512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7c563f255513e96a9344b79be2b3f506c2569a221ff327f25340fcec3fe6e6

Aliases

arxiv: 1911.01693 · arxiv_version: 1911.01693v4 · doi: 10.48550/arxiv.1911.01693 · pith_short_12: 3R6FMPZFKUJ6 · pith_short_16: 3R6FMPZFKUJ6S2UT · pith_short_8: 3R6FMPZF

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/3R6FMPZFKUJ6S2UTIS3ZXYVT6U \
  | 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: dc7c563f255513e96a9344b79be2b3f506c2569a221ff327f25340fcec3fe6e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41957d7ac96bf0161e48125542feb477e43db9824360c1afd369c969d60d55c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-11-05T10:03:38Z",
    "title_canon_sha256": "8dad5c3383dec11ada5baadd72e63f45894dd6bcbc2c39184d251fbf55403752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01693",
    "kind": "arxiv",
    "version": 4
  }
}