Pith Number

pith:64WY75T7

pith:2010:64WY75T7KOGEBSSEMHY4QJRKGQ

not attested not anchored not stored refs pending

Integrate and Fire Neural Networks, Piecewise Contractive Maps and Limit Cycles

E. Catsigeras, P. Guiraud

arxiv:1011.1525 v2 · 2010-11-05 · math.DS · 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{64WY75T7KOGEBSSEMHY4QJRKGQ}

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	2026-05-18T03:13:58.597148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72d8ff67f538c40ca4461f1c8262a3436993a81dc32c845e98b32e8ba305713

Aliases

arxiv: 1011.1525 · arxiv_version: 1011.1525v2 · doi: 10.48550/arxiv.1011.1525 · pith_short_12: 64WY75T7KOGE · pith_short_16: 64WY75T7KOGEBSSE · pith_short_8: 64WY75T7

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/64WY75T7KOGEBSSEMHY4QJRKGQ \
  | 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: f72d8ff67f538c40ca4461f1c8262a3436993a81dc32c845e98b32e8ba305713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd8a385a5159f01be834f135e7de487598e4de1732534402adfb15883247b28",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-05T23:09:24Z",
    "title_canon_sha256": "fc411c61473b500f37964da9edf56c82cdf808908be207b78140f3a0a9643210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1525",
    "kind": "arxiv",
    "version": 2
  }
}