Pith Number

pith:AOCNPBYE

pith:2010:AOCNPBYE4GADPFPFWXYQACGIFN

not attested not anchored not stored refs pending

Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models

Micaela Fedele, Pierluigi Contucci

arxiv:1011.3216 v2 · 2010-11-14 · math-ph · 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{AOCNPBYE4GADPFPFWXYQACGIFN}

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	2026-05-18T02:04:47.813518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0384d78704e1803795e5b5f10008c82b535eeb37a12ef6fd49f1246468741f04

Aliases

arxiv: 1011.3216 · arxiv_version: 1011.3216v2 · doi: 10.48550/arxiv.1011.3216 · pith_short_12: AOCNPBYE4GAD · pith_short_16: AOCNPBYE4GADPFPF · pith_short_8: AOCNPBYE

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/AOCNPBYE4GADPFPFWXYQACGIFN \
  | 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: 0384d78704e1803795e5b5f10008c82b535eeb37a12ef6fd49f1246468741f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4382b8216567835da84a65ac45dd2923f94310fc5483d091dd9450c0ad2db614",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-14T11:31:21Z",
    "title_canon_sha256": "581416977edfcdf08dd66edafe5f71aa9baa01ddae6abe0cf8aee2595bbe1a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3216",
    "kind": "arxiv",
    "version": 2
  }
}