Pith Number

pith:MFJUZPU2

pith:2009:MFJUZPU2IH6IR4XYXZ2NA3MKX7

not attested not anchored not stored refs pending

A simple mean field model for social interactions: dynamics, fluctuations, criticality

Elena Sartori, Francesca Collet, Paolo Dai Pra

arxiv:0910.5078 v3 · 2009-10-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFJUZPU2IH6IR4XYXZ2NA3MKX7}

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	2026-05-18T02:11:10.999171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61534cbe9a41fc88f2f8be74d06d8abfefb88842ec7e6daaf6c726e9ee9ede41

Aliases

arxiv: 0910.5078 · arxiv_version: 0910.5078v3 · doi: 10.48550/arxiv.0910.5078 · pith_short_12: MFJUZPU2IH6I · pith_short_16: MFJUZPU2IH6IR4XY · pith_short_8: MFJUZPU2

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/MFJUZPU2IH6IR4XYXZ2NA3MKX7 \
  | 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: 61534cbe9a41fc88f2f8be74d06d8abfefb88842ec7e6daaf6c726e9ee9ede41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4f2bbd2d49c9045df74d3b14508bec6afc38dab00527b90a9847a4e123048f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-27T10:21:10Z",
    "title_canon_sha256": "878ff9ba88de2195c1e97a61ba21b7cd95b3248a913f2684582682c5fef72060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5078",
    "kind": "arxiv",
    "version": 3
  }
}