Pith Number

pith:XSOU3IVG

pith:2011:XSOU3IVGI5SJZB6ZMJVRVPWFYM

not attested not anchored not stored refs pending

The Partition Function of Multicomponent Log-Gases

Christopher D. Sinclair

arxiv:1201.0223 v1 · 2011-12-31 · math-ph · math.MP · 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{XSOU3IVGI5SJZB6ZMJVRVPWFYM}

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	2026-05-18T01:58:59.222702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9d4da2a647649c87d9626b1abec5c3326d510d4c7dcb79f286659115d0853b

Aliases

arxiv: 1201.0223 · arxiv_version: 1201.0223v1 · doi: 10.48550/arxiv.1201.0223 · pith_short_12: XSOU3IVGI5SJ · pith_short_16: XSOU3IVGI5SJZB6Z · pith_short_8: XSOU3IVG

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/XSOU3IVGI5SJZB6ZMJVRVPWFYM \
  | 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: bc9d4da2a647649c87d9626b1abec5c3326d510d4c7dcb79f286659115d0853b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b2da905b5ec1706ecc0ee49698c47d4c6e8d21f0ea753fff0160229ef358bd",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-31T04:36:54Z",
    "title_canon_sha256": "bcb529be41a36b03bd07537103af0e63059be138920f2edc0ef871144d202255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0223",
    "kind": "arxiv",
    "version": 1
  }
}