Pith Number

pith:4S27MJ5P

pith:2012:4S27MJ5PHYB7QXXOEMSXTLT4HV

not attested not anchored not stored refs pending

Combinatorial neural codes from a mathematical coding theory perspective

Carina Curto, Judy L. Walker, Katherine Morrison, Vladimir Itskov, Zachary Roth

arxiv:1212.5188 v1 · 2012-12-20 · q-bio.NC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S27MJ5PHYB7QXXOEMSXTLT4HV}

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	2026-05-18T02:26:32.072306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b5f627af3e03f85eee232579ae7c3d6f2c1c03c6bf0edaf2343794c23da32d

Aliases

arxiv: 1212.5188 · arxiv_version: 1212.5188v1 · doi: 10.48550/arxiv.1212.5188 · pith_short_12: 4S27MJ5PHYB7 · pith_short_16: 4S27MJ5PHYB7QXXO · pith_short_8: 4S27MJ5P

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/4S27MJ5PHYB7QXXOEMSXTLT4HV \
  | 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: e4b5f627af3e03f85eee232579ae7c3d6f2c1c03c6bf0edaf2343794c23da32d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beccf74182471dfe4c11a5a595f6b5f88fc60cd2b179d4eb872ff9f7325b1590",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2012-12-20T18:57:30Z",
    "title_canon_sha256": "1568f4a28b48101d1fc4d7d0ce77aa75b9a57d4d14ba1888645cedd7d7cb9e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5188",
    "kind": "arxiv",
    "version": 1
  }
}