Pith Number

pith:2BJJRQ3R

pith:2012:2BJJRQ3RSBGDVZ27YXB5FHPYKZ

not attested not anchored not stored refs pending

Topological and Dynamical Complexity of Random Neural Networks

Gilles Wainrib, Jonathan Touboul

arxiv:1210.5082 v3 · 2012-10-18 · math-ph · cond-mat.dis-nn · 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{2BJJRQ3RSBGDVZ27YXB5FHPYKZ}

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	2026-05-18T03:30:53.616481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05298c371904c3ae75fc5c3d29df856565c433d974278d6b61b6cd344d6ae31

Aliases

arxiv: 1210.5082 · arxiv_version: 1210.5082v3 · doi: 10.48550/arxiv.1210.5082 · pith_short_12: 2BJJRQ3RSBGD · pith_short_16: 2BJJRQ3RSBGDVZ27 · pith_short_8: 2BJJRQ3R

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/2BJJRQ3RSBGDVZ27YXB5FHPYKZ \
  | 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: d05298c371904c3ae75fc5c3d29df856565c433d974278d6b61b6cd344d6ae31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d3ed93921bd3f0f3375bff3117615bb3281761ac9faddc9f04b99af2b4b293",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-18T10:25:50Z",
    "title_canon_sha256": "9e853890baeed8cf810ca957ee8e25e35c2f606d2143c430136ea159820ac3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5082",
    "kind": "arxiv",
    "version": 3
  }
}