Pith Number

pith:NBLQ5VKW

pith:2009:NBLQ5VKWFOZ4OO5UB6DI2AY77F

not attested not anchored not stored refs pending

Polynomial functors and polynomial monads

Joachim Kock, Nicola Gambino

arxiv:0906.4931 v2 · 2009-06-26 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBLQ5VKWFOZ4OO5UB6DI2AY77F}

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	2026-05-18T02:13:12.433718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68570ed5562bb3c73bb40f868d031ff94258b5ee75b6203a63c37e58c666e362

Aliases

arxiv: 0906.4931 · arxiv_version: 0906.4931v2 · doi: 10.48550/arxiv.0906.4931 · pith_short_12: NBLQ5VKWFOZ4 · pith_short_16: NBLQ5VKWFOZ4OO5U · pith_short_8: NBLQ5VKW

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/NBLQ5VKWFOZ4OO5UB6DI2AY77F \
  | 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: 68570ed5562bb3c73bb40f868d031ff94258b5ee75b6203a63c37e58c666e362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6746a332e92a90efbaafbc65e03784d9dad4dabcab778ebb5566100440590400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-06-26T13:40:38Z",
    "title_canon_sha256": "90570cc25f76c93fe262dcbebdcc91979f6e65953cf9014442e9c6c9598281fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4931",
    "kind": "arxiv",
    "version": 2
  }
}