Pith Number

pith:CXSEMMIP

pith:2017:CXSEMMIPIUWW3DV4U3M7L5IYAL

not attested not anchored not stored refs pending

Bethe states of random factor graphs

Amin Coja-Oghlan, Will Perkins

arxiv:1709.03827 v2 · 2017-09-12 · math.PR · math-ph · math.CO · 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{CXSEMMIPIUWW3DV4U3M7L5IYAL}

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	2026-05-17T23:56:00.046208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e446310f452d6d8ebca6d9f5f51802fac9222fbce2be6ab194942950b676e6

Aliases

arxiv: 1709.03827 · arxiv_version: 1709.03827v2 · doi: 10.48550/arxiv.1709.03827 · pith_short_12: CXSEMMIPIUWW · pith_short_16: CXSEMMIPIUWW3DV4 · pith_short_8: CXSEMMIP

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/CXSEMMIPIUWW3DV4U3M7L5IYAL \
  | 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: 15e446310f452d6d8ebca6d9f5f51802fac9222fbce2be6ab194942950b676e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20db843fd34539239a364ece27537206799071d7140934764c80b0fed393271c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-12T13:15:34Z",
    "title_canon_sha256": "20321d91be9fb22289926d6ca91d98264f7767abd64554a7e156697a2da1f941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03827",
    "kind": "arxiv",
    "version": 2
  }
}