Pith Number

pith:J2YC5LKW

pith:2015:J2YC5LKWTLFBPFCVF7JSYGQSFV

not attested not anchored not stored refs pending

Brown's moduli spaces of curves and the gravity operad

Bruno Vallette, Cl\'ement Dupont

arxiv:1509.08840 v4 · 2015-09-29 · 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{J2YC5LKWTLFBPFCVF7JSYGQSFV}

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	2026-05-18T00:13:48.576143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb02ead569aca1794552fd32c1a122d6889028b824cd020ecb91d42f4971193

Aliases

arxiv: 1509.08840 · arxiv_version: 1509.08840v4 · doi: 10.48550/arxiv.1509.08840 · pith_short_12: J2YC5LKWTLFB · pith_short_16: J2YC5LKWTLFBPFCV · pith_short_8: J2YC5LKW

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/J2YC5LKWTLFBPFCVF7JSYGQSFV \
  | 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: 4eb02ead569aca1794552fd32c1a122d6889028b824cd020ecb91d42f4971193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b20dde636e7a9cd444d80a151aed38a723fef7d95871d795e643976a58e6582",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-29T16:41:27Z",
    "title_canon_sha256": "f976b9189ffe0c4d506377b94cd39d76183256fa7fa75d2631051311fe3e4efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08840",
    "kind": "arxiv",
    "version": 4
  }
}