Pith Number

pith:P7EUXUNF

pith:2012:P7EUXUNFBJAKAL4P2VM6WL6HKM

not attested not anchored not stored refs pending

Convergence of multivariate belief propagation, with applications to cuckoo hashing and load balancing

Laurent Massouli\'e, Marc Lelarge, Mathieu Leconte

arxiv:1207.1659 v1 · 2012-07-06 · math.PR · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7EUXUNFBJAKAL4P2VM6WL6HKM}

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	2026-05-18T03:51:36.642461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc94bd1a50a40a02f8fd559eb2fc7530a2621250e79dc8287ca55a4e8243615

Aliases

arxiv: 1207.1659 · arxiv_version: 1207.1659v1 · doi: 10.48550/arxiv.1207.1659 · pith_short_12: P7EUXUNFBJAK · pith_short_16: P7EUXUNFBJAKAL4P · pith_short_8: P7EUXUNF

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/P7EUXUNFBJAKAL4P2VM6WL6HKM \
  | 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: 7fc94bd1a50a40a02f8fd559eb2fc7530a2621250e79dc8287ca55a4e8243615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21733a48cb6202232e3dd533b31c90faca74dcfd1e2d894b2fa43b5013ee620d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-06T15:23:42Z",
    "title_canon_sha256": "8e383a4257680850c15c00257c454c81e393d05b710db01199030815233f3dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1659",
    "kind": "arxiv",
    "version": 1
  }
}