Pith Number

pith:C4OXM4VI

pith:2013:C4OXM4VI52FCKIJCTY7QJO2AD6

not attested not anchored not stored refs pending

Firing-rate, symbolic dynamics and frequency dependence in periodically driven spiking models: a piecewise-smooth approach

Albert Granados, Maciej Krupa

arxiv:1310.1216 v2 · 2013-10-04 · 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{C4OXM4VI52FCKIJCTY7QJO2AD6}

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	2026-05-18T02:54:54.372225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171d7672a8ee8a2521229e3f04bb401fb6128a469cb86ea7552af57d54f802e5

Aliases

arxiv: 1310.1216 · arxiv_version: 1310.1216v2 · doi: 10.48550/arxiv.1310.1216 · pith_short_12: C4OXM4VI52FC · pith_short_16: C4OXM4VI52FCKIJC · pith_short_8: C4OXM4VI

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/C4OXM4VI52FCKIJCTY7QJO2AD6 \
  | 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: 171d7672a8ee8a2521229e3f04bb401fb6128a469cb86ea7552af57d54f802e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998813f80a33aed9d2677baec81d87e12f038a296e71ec2e4697767cd2446810",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-04T10:21:20Z",
    "title_canon_sha256": "808a12dcce0f803b83951ada80b9e1f6943b1b81d77177420c18b969e2ef045d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1216",
    "kind": "arxiv",
    "version": 2
  }
}