Pith Number

pith:O2GAKPKQ

pith:2015:O2GAKPKQ5PMDPIOYTO4PIICAXY

not attested not anchored not stored refs pending

Brown's dihedral moduli space and freedom of the gravity operad

Dan Petersen, Johan Alm

arxiv:1509.09274 v2 · 2015-09-30 · math.AG · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2GAKPKQ5PMDPIOYTO4PIICAXY}

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	2026-05-18T00:15:38.250117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768c053d50ebd837a1d89bb8f42040be040dce46c60695b66b8915fd6325fce8

Aliases

arxiv: 1509.09274 · arxiv_version: 1509.09274v2 · doi: 10.48550/arxiv.1509.09274 · pith_short_12: O2GAKPKQ5PMD · pith_short_16: O2GAKPKQ5PMDPIOY · pith_short_8: O2GAKPKQ

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/O2GAKPKQ5PMDPIOYTO4PIICAXY \
  | 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: 768c053d50ebd837a1d89bb8f42040be040dce46c60695b66b8915fd6325fce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fb7dc788ed5a859e5d842535315bac4fb7b738429a2e64a61b3e42d50cc3d9",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-30T17:55:35Z",
    "title_canon_sha256": "9c669b33371799513821e4deef48fd996ed2a6c0298ee5d69bb4128cb654c41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09274",
    "kind": "arxiv",
    "version": 2
  }
}