Pith Number

pith:OIHEHIKN

pith:2017:OIHEHIKNOWQDV5FCSVKB4HQEJS

not attested not anchored not stored refs pending

Strict convexity of the free energy of the canonical ensemble under decay of correlations

Georg Menz, Younghak Kwon

arxiv:1710.08974 v6 · 2017-10-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIHEHIKNOWQDV5FCSVKB4HQEJS}

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	2026-05-18T00:09:19.489969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720e43a14d75a03af4a295541e1e044cba255b700a17cb4f1aea1df3cf466697

Aliases

arxiv: 1710.08974 · arxiv_version: 1710.08974v6 · doi: 10.48550/arxiv.1710.08974 · pith_short_12: OIHEHIKNOWQD · pith_short_16: OIHEHIKNOWQDV5FC · pith_short_8: OIHEHIKN

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/OIHEHIKNOWQDV5FCSVKB4HQEJS \
  | 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: 720e43a14d75a03af4a295541e1e044cba255b700a17cb4f1aea1df3cf466697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d9720fc6bf225e5c4af019df713941aea56cb1ecb31379edf20401789ad02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-24T20:10:05Z",
    "title_canon_sha256": "e6057313317f48b1cc106bd8d235ea9a341a985155942773e3c82d3e851664ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08974",
    "kind": "arxiv",
    "version": 6
  }
}