Pith Number

pith:RATWVS5G

pith:2012:RATWVS5GDZUSRZXQJCK37BCBYC

not attested not anchored not stored refs pending

Infinite systems of interacting chains with memory of variable length - a stochastic model for biological neural nets

Antonio Galves, Eva L\"ocherbach

arxiv:1212.5505 v3 · 2012-12-21 · 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{RATWVS5GDZUSRZXQJCK37BCBYC}

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	2026-05-18T01:52:29.201417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88276acba61e6928e6f04895bf8441c0b1b2618b7383ebfa229e7cf2a83ef2bb

Aliases

arxiv: 1212.5505 · arxiv_version: 1212.5505v3 · doi: 10.48550/arxiv.1212.5505 · pith_short_12: RATWVS5GDZUS · pith_short_16: RATWVS5GDZUSRZXQ · pith_short_8: RATWVS5G

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/RATWVS5GDZUSRZXQJCK37BCBYC \
  | 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: 88276acba61e6928e6f04895bf8441c0b1b2618b7383ebfa229e7cf2a83ef2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382d53e355acf55b0b5d01dcc05caedb85da3b66a809b2d2fcf83edd5cbeb5ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-21T16:03:34Z",
    "title_canon_sha256": "9f4961dfc130ceb3d5b4be35439b85a3c04c443258eb371158d86fc321d8cdfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5505",
    "kind": "arxiv",
    "version": 3
  }
}