Pith Number

pith:JXW7FKE7

pith:2021:JXW7FKE7YXTZHWWVCN2Z5HHBQF

not attested not anchored not stored refs pending

Weight two compactly supported cohomology of moduli spaces of curves

Sam Payne, Thomas Willwacher

arxiv:2110.05711 v3 · 2021-10-12 · math.AG · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXW7FKE7YXTZHWWVCN2Z5HHBQF}

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.

Cited by

1 paper in Pith

Getzler-Kapranov graph complex cohomology computations in weight 13

Receipt and verification

First computed	2026-07-05T09:56:45.305106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dedf2a89fc5e793dad513759e9ce1815824a806565b3e4c1cf085df5d07c633

Aliases

arxiv: 2110.05711 · arxiv_version: 2110.05711v3 · doi: 10.48550/arxiv.2110.05711 · pith_short_12: JXW7FKE7YXTZ · pith_short_16: JXW7FKE7YXTZHWWV · pith_short_8: JXW7FKE7

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/JXW7FKE7YXTZHWWVCN2Z5HHBQF \
  | 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: 4dedf2a89fc5e793dad513759e9ce1815824a806565b3e4c1cf085df5d07c633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3e4cc248e5e1e8fb7c188bc87ec427f7df5a7b5d12c9240b1ca434b77ef7bc",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-10-12T02:57:17Z",
    "title_canon_sha256": "5101afe78cdbfad1db09729cb34c7f6190158e720b7980bfb2c581353b2b8fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05711",
    "kind": "arxiv",
    "version": 3
  }
}