Pith Number

pith:65RB5PIX

pith:2010:65RB5PIXYJVEOCFSHMWTPV5CAV

not attested not anchored not stored refs pending

The class of a Hurwitz divisor on the moduli of curves of even genus

Alexis Kouvidakis, Gerard van der Geer

arxiv:1005.0969 v2 · 2010-05-06 · 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{65RB5PIXYJVEOCFSHMWTPV5CAV}

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	2026-05-18T04:42:33.622969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7621ebd17c26a4708b23b2d37d7a2057b54ba239dfd2d856e053d6d4b020c7a

Aliases

arxiv: 1005.0969 · arxiv_version: 1005.0969v2 · doi: 10.48550/arxiv.1005.0969 · pith_short_12: 65RB5PIXYJVE · pith_short_16: 65RB5PIXYJVEOCFS · pith_short_8: 65RB5PIX

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/65RB5PIXYJVEOCFSHMWTPV5CAV \
  | 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: f7621ebd17c26a4708b23b2d37d7a2057b54ba239dfd2d856e053d6d4b020c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be22db706ff65b86c6dd7a27bd31cb59105cc370c858be19d11191a7d0c8e27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-06T10:29:47Z",
    "title_canon_sha256": "7e0851ed6c4d115464a006b66804b93511b5b2bae4e9246a2ed7e9d1cfad6618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0969",
    "kind": "arxiv",
    "version": 2
  }
}