Pith Number

pith:IFBUSRAN

pith:2012:IFBUSRAN4C2GJ66C2VCLJHH7WO

not attested not anchored not stored refs pending

Chaos in the mixed even-spin models

Wei-Kuo Chen

arxiv:1211.7354 v2 · 2012-11-30 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFBUSRAN4C2GJ66C2VCLJHH7WO}

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	2026-05-18T03:07:34.579798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414349440de0b464fbc2d544b49cffb39f37b974f1b2756990ae0e7e839bdd24

Aliases

arxiv: 1211.7354 · arxiv_version: 1211.7354v2 · doi: 10.48550/arxiv.1211.7354 · pith_short_12: IFBUSRAN4C2G · pith_short_16: IFBUSRAN4C2GJ66C · pith_short_8: IFBUSRAN

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/IFBUSRAN4C2GJ66C2VCLJHH7WO \
  | 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: 414349440de0b464fbc2d544b49cffb39f37b974f1b2756990ae0e7e839bdd24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee389685cfccf784686c5213e6d936b7dce4c2c90130f78972f835813c08c5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-30T19:50:40Z",
    "title_canon_sha256": "1945e6013f3ce229122d25642f60179904cbe91dcec0abc3c2943dbb5ba70867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7354",
    "kind": "arxiv",
    "version": 2
  }
}