Pith Number

pith:O3IQFWLQ

pith:2009:O3IQFWLQVHC3NYWNJURDAI2C2L

not attested not anchored not stored refs pending

Cyclic operad formality for compactified moduli spaces of genus zero surfaces

Jeffrey Giansiracusa, Paolo Salvatore

arxiv:0911.4430 v2 · 2009-11-23 · math.QA · 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{O3IQFWLQVHC3NYWNJURDAI2C2L}

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	2026-05-18T04:39:18.342959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d102d970a9c5b6e2cd4d22302342d2dd50089484602214ee412f1fbf94ea4d

Aliases

arxiv: 0911.4430 · arxiv_version: 0911.4430v2 · doi: 10.48550/arxiv.0911.4430 · pith_short_12: O3IQFWLQVHC3 · pith_short_16: O3IQFWLQVHC3NYWN · pith_short_8: O3IQFWLQ

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/O3IQFWLQVHC3NYWNJURDAI2C2L \
  | 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: 76d102d970a9c5b6e2cd4d22302342d2dd50089484602214ee412f1fbf94ea4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ccea81c3a2dab8828332bada9f265f82639f739c150fc0e63e6d13359b6994",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-11-23T16:58:41Z",
    "title_canon_sha256": "d182468ccd3afff20fd4104360937c0dca049d113611cd196feae1a2f789859a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4430",
    "kind": "arxiv",
    "version": 2
  }
}