Pith Number

pith:G47HCV7Y

pith:2013:G47HCV7Y4AYYVQCGGZVNELJZDX

not attested not anchored not stored refs pending

Dynamics and termination cost of spatially coupled mean-field models

Francesco Caltagirone, Lenka Zdeborov\'a, Richard Morris, Silvio Franz

arxiv:1310.2121 v1 · 2013-10-08 · 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{G47HCV7Y4AYYVQCGGZVNELJZDX}

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	2026-05-18T03:00:25.762795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

373e7157f8e0318ac046366ad22d391dde33a113dad481c4f21d982c94b87668

Aliases

arxiv: 1310.2121 · arxiv_version: 1310.2121v1 · doi: 10.48550/arxiv.1310.2121 · pith_short_12: G47HCV7Y4AYY · pith_short_16: G47HCV7Y4AYYVQCG · pith_short_8: G47HCV7Y

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/G47HCV7Y4AYYVQCGGZVNELJZDX \
  | 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: 373e7157f8e0318ac046366ad22d391dde33a113dad481c4f21d982c94b87668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f881974d1f736f5bcf06bc3824d57f38eecb3411ba9cb73b59198f2d34dec361",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-10-08T13:03:30Z",
    "title_canon_sha256": "ee653d9e77117270ceb3ab7dc42de8e8c33e48ebedf5ab178ffe992ea80c52ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2121",
    "kind": "arxiv",
    "version": 1
  }
}