Pith Number

pith:54RXJXSM

pith:2017:54RXJXSMD3QBWMT4RU6BUE2MK4

not attested not anchored not stored refs pending

Decomposition of mean-field Gibbs distributions into product measures

Renan Gross, Ronen Eldan

arxiv:1708.05859 v2 · 2017-08-19 · math.PR · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54RXJXSMD3QBWMT4RU6BUE2MK4}

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	2026-05-18T00:18:05.269540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2374de4c1ee01b327c8d3c1a134c570442309ede20fbac24119140f6b3aaca

Aliases

arxiv: 1708.05859 · arxiv_version: 1708.05859v2 · doi: 10.48550/arxiv.1708.05859 · pith_short_12: 54RXJXSMD3QB · pith_short_16: 54RXJXSMD3QBWMT4 · pith_short_8: 54RXJXSM

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/54RXJXSMD3QBWMT4RU6BUE2MK4 \
  | 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: ef2374de4c1ee01b327c8d3c1a134c570442309ede20fbac24119140f6b3aaca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4163b0c88ed176d24d2c32fe99a8eb1e2392dba6b3bd00fff11fbb08cc8b8d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-19T15:05:19Z",
    "title_canon_sha256": "3032b9516c928e711e3898587e4f4d82a0b5f0d212df45b9faf172163bd04322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05859",
    "kind": "arxiv",
    "version": 2
  }
}