Pith Number

pith:7NEZKAHJ

pith:2011:7NEZKAHJN6SGV44XA2GIDJNTZN

not attested not anchored not stored refs pending

Chains of Mean Field Models

Nicolas Macris, Ruediger Urbanke, S. Hamed Hassani

arxiv:1105.0807 v2 · 2011-05-04 · cs.DM · cond-mat.stat-mech · cs.IT · 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{7NEZKAHJN6SGV44XA2GIDJNTZN}

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	2026-05-18T02:02:08.978391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb499500e96fa46af397068c81a5b3cb53cdf134913e23149479bb8fcf840d01

Aliases

arxiv: 1105.0807 · arxiv_version: 1105.0807v2 · doi: 10.48550/arxiv.1105.0807 · pith_short_12: 7NEZKAHJN6SG · pith_short_16: 7NEZKAHJN6SGV44X · pith_short_8: 7NEZKAHJ

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/7NEZKAHJN6SGV44XA2GIDJNTZN \
  | 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: fb499500e96fa46af397068c81a5b3cb53cdf134913e23149479bb8fcf840d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47eb9a82e7bada801d5b6d4f7db131964e45a5630bba80ff2a5f97644ae30e93",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-04T12:49:20Z",
    "title_canon_sha256": "4f6e3335a5561b9563c5e6f23a93440bf0ea136911e037dcc2a57788836a2ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0807",
    "kind": "arxiv",
    "version": 2
  }
}