Pith Number

pith:W5TDCV4X

pith:2011:W5TDCV4XCP2NLISVDSGAEPYXQO

not attested not anchored not stored refs pending

The Number of Multistate Nested Canalyzing Functions

David Murrugarra, Reinhard Laubenbacher

arxiv:1108.0206 v2 · 2011-07-31 · math.AG · physics.bio-ph · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5TDCV4XCP2NLISVDSGAEPYXQO}

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	2026-05-18T03:36:16.229185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76631579713f4d5a2551c8c023f1783b7a5a5404295d5edee6db286129b07ed

Aliases

arxiv: 1108.0206 · arxiv_version: 1108.0206v2 · doi: 10.48550/arxiv.1108.0206 · pith_short_12: W5TDCV4XCP2N · pith_short_16: W5TDCV4XCP2NLISV · pith_short_8: W5TDCV4X

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/W5TDCV4XCP2NLISVDSGAEPYXQO \
  | 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: b76631579713f4d5a2551c8c023f1783b7a5a5404295d5edee6db286129b07ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca9b43e8846067e313a403057afa9e48edf651791fd8238e12713ea6d82d312",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-31T22:01:44Z",
    "title_canon_sha256": "7f27beeccaa3f79a2cd2e21e38842a268ca1742fc9cda9bd1b9d42e92d50878f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0206",
    "kind": "arxiv",
    "version": 2
  }
}