Pith Number

pith:YOJZMC5C

pith:2011:YOJZMC5CFZ3EFWYFJFBT2C66RT

not attested not anchored not stored refs pending

The Picard group of the moduli space of r-Spin Riemann surfaces

Oscar Randal-Williams

arxiv:1102.0715 v2 · 2011-02-03 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOJZMC5CFZ3EFWYFJFBT2C66RT}

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	2026-05-18T03:37:09.253457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c393960ba22e7642db0549433d0bde8cf40fb47ab66d5d6d145812153f779494

Aliases

arxiv: 1102.0715 · arxiv_version: 1102.0715v2 · doi: 10.48550/arxiv.1102.0715 · pith_short_12: YOJZMC5CFZ3E · pith_short_16: YOJZMC5CFZ3EFWYF · pith_short_8: YOJZMC5C

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/YOJZMC5CFZ3EFWYFJFBT2C66RT \
  | 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: c393960ba22e7642db0549433d0bde8cf40fb47ab66d5d6d145812153f779494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f40774d87099841a70a02928c899fea305fc1011f4139018c2e771b68a1f54c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-03T16:01:00Z",
    "title_canon_sha256": "597daea5becbeaa864e63fa9ad6b36a9582bd81506e9a732eaf7482547e03c86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0715",
    "kind": "arxiv",
    "version": 2
  }
}