Pith Number

pith:LSVPU3A6

pith:2002:LSVPU3A6KB7BEZNWIKDJIIG42S

not attested not anchored not stored refs pending

Arc Operads and Arc Algebras

Muriel Livernet, Ralph M Kaufmann, RC Penner

arxiv:math/0209132 v3 · 2002-09-11 · math.GT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSVPU3A6KB7BEZNWIKDJIIG42S}

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	2026-05-18T02:38:00.581995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5caafa6c1e507e1265b642869420dcd4959dcfd6d0b8ccf2002a433a1cab1c66

Aliases

arxiv: math/0209132 · arxiv_version: math/0209132v3 · doi: 10.48550/arxiv.math/0209132 · pith_short_12: LSVPU3A6KB7B · pith_short_16: LSVPU3A6KB7BEZNW · pith_short_8: LSVPU3A6

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/LSVPU3A6KB7BEZNWIKDJIIG42S \
  | 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: 5caafa6c1e507e1265b642869420dcd4959dcfd6d0b8ccf2002a433a1cab1c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12c104a158dc3c1daa6eb04cf452e7cfa171f9b65031eff99c8e6dd4ae55b55",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-09-11T17:52:02Z",
    "title_canon_sha256": "5a83c7aa0cb5fc9a5caf027f22d8817f066c00ef21d48e4ef11fa6520b59987e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209132",
    "kind": "arxiv",
    "version": 3
  }
}