Pith Number

pith:4NRIHLOU

pith:2008:4NRIHLOUWOBJTBETO6WD4VWZ72

not attested not anchored not stored refs pending

A constructive mean field analysis of multi population neural networks with random synaptic weights and stochastic inputs

Bruno Cessac, Jonathan Touboul, Olivier Faugeras

arxiv:0808.1113 v2 · 2008-08-07 · physics.bio-ph · cond-mat.dis-nn · math-ph · math.MP · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NRIHLOUWOBJTBETO6WD4VWZ72}

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	2026-05-18T04:36:51.455395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36283add4b38299849377ac3e56d9fe9116e470b7286a0836394754fee9fc47

Aliases

arxiv: 0808.1113 · arxiv_version: 0808.1113v2 · doi: 10.48550/arxiv.0808.1113 · pith_short_12: 4NRIHLOUWOBJ · pith_short_16: 4NRIHLOUWOBJTBET · pith_short_8: 4NRIHLOU

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/4NRIHLOUWOBJTBETO6WD4VWZ72 \
  | 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: e36283add4b38299849377ac3e56d9fe9116e470b7286a0836394754fee9fc47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d01905980f1d1098e8e5dd06d8dbc03a894a1e210d242121e5d4e556cc0ea3cf",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2008-08-07T20:25:14Z",
    "title_canon_sha256": "e3f5bee19ff757731cf52859d3a0b6705b7f748220f9a32e54cc9044f883acc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1113",
    "kind": "arxiv",
    "version": 2
  }
}