Pith Number

pith:SP5JFIP7

pith:2009:SP5JFIP7EDJDZGRHN2LLE33FIE

not attested not anchored not stored refs pending

Lax Monoidal Fibrations

Marek Zawadowski

arxiv:0912.4464 v2 · 2009-12-22 · 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{SP5JFIP7EDJDZGRHN2LLE33FIE}

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	2026-05-18T04:39:59.378408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fa92a1ff20d23c9a276e96b26f65412995192a6df4e0bf8a5c6eddc9db40f8

Aliases

arxiv: 0912.4464 · arxiv_version: 0912.4464v2 · doi: 10.48550/arxiv.0912.4464 · pith_short_12: SP5JFIP7EDJD · pith_short_16: SP5JFIP7EDJDZGRH · pith_short_8: SP5JFIP7

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/SP5JFIP7EDJDZGRHN2LLE33FIE \
  | 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: 93fa92a1ff20d23c9a276e96b26f65412995192a6df4e0bf8a5c6eddc9db40f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4025477122ac5d91f1097f366c60e6e8da07b503b9f61cecdbe9937bc647aa0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-12-22T17:29:28Z",
    "title_canon_sha256": "914ca2f8891fd060a150b5edc0170b55bf199fc130669b8fdc0fd1f6ce224ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4464",
    "kind": "arxiv",
    "version": 2
  }
}