Pith Number

pith:5BSO4B6T

pith:2015:5BSO4B6TOKTEEDI2CE77NKVPMO

not attested not anchored not stored refs pending

Universal Critical Wrapping Probabilities in the Canonical Ensemble

Hao Hu, Youjin Deng

arxiv:1507.00453 v2 · 2015-07-02 · 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{5BSO4B6TOKTEEDI2CE77NKVPMO}

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	2026-05-18T01:37:01.271269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e864ee07d372a6420d1a113ff6aaaf6394b84e37a1fdfba54da5901b688c3235

Aliases

arxiv: 1507.00453 · arxiv_version: 1507.00453v2 · doi: 10.48550/arxiv.1507.00453 · pith_short_12: 5BSO4B6TOKTE · pith_short_16: 5BSO4B6TOKTEEDI2 · pith_short_8: 5BSO4B6T

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/5BSO4B6TOKTEEDI2CE77NKVPMO \
  | 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: e864ee07d372a6420d1a113ff6aaaf6394b84e37a1fdfba54da5901b688c3235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c908f78d18cb69bee9bcbeecaa5b0144cc1f786013c7d374edf8af05d2da3ed6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-02T07:30:51Z",
    "title_canon_sha256": "2800211c29409a84c5c35885bc55cb3c47e1ee03ed233f86a4bedb41ecb27103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00453",
    "kind": "arxiv",
    "version": 2
  }
}