Pith Number

pith:XVRUPAWL

pith:2012:XVRUPAWLVR4RZRSTHYBOW3TV3T

not attested not anchored not stored refs pending

New Generalizations of the Bethe Approximation via Asymptotic Expansion

Ryuhei Mori, Toshiyuki Tanaka

arxiv:1210.2592 v2 · 2012-10-09 · cs.IT · cond-mat.stat-mech · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVRUPAWLVR4RZRSTHYBOW3TV3T}

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	2026-05-18T03:43:31.713506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd634782cbac791cc6533e02eb6e75dce0eda981442e9df74e93b4e9667145ee

Aliases

arxiv: 1210.2592 · arxiv_version: 1210.2592v2 · doi: 10.48550/arxiv.1210.2592 · pith_short_12: XVRUPAWLVR4R · pith_short_16: XVRUPAWLVR4RZRST · pith_short_8: XVRUPAWL

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/XVRUPAWLVR4RZRSTHYBOW3TV3T \
  | 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: bd634782cbac791cc6533e02eb6e75dce0eda981442e9df74e93b4e9667145ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae26215f08076a3adce159cd3e99dc1070a0759f282d6fcb8cb44acb9c50d6d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-10-09T13:28:05Z",
    "title_canon_sha256": "f6ac3b99de83282dc436904102f590d0d657c16349d6365ed7002958f930be2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2592",
    "kind": "arxiv",
    "version": 2
  }
}