Pith Number

pith:4CIF4GKS

pith:2007:4CIF4GKSFH776PUT4KJACLCNQ5

not attested not anchored not stored refs pending

On the geometry of the moduli space of spin curves

Katharina Ludwig

arxiv:0707.1831 v1 · 2007-07-12 · 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{4CIF4GKSFH776PUT4KJACLCNQ5}

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	2026-05-18T01:05:14.144617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0905e195229ffff3e93e292012c4d8775d7bfa3c0ccb148d97f71d7c8dd2157

Aliases

arxiv: 0707.1831 · arxiv_version: 0707.1831v1 · doi: 10.48550/arxiv.0707.1831 · pith_short_12: 4CIF4GKSFH77 · pith_short_16: 4CIF4GKSFH776PUT · pith_short_8: 4CIF4GKS

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/4CIF4GKSFH776PUT4KJACLCNQ5 \
  | 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: e0905e195229ffff3e93e292012c4d8775d7bfa3c0ccb148d97f71d7c8dd2157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0682f06e8f48de91fd5d23997194e9954fd0a0ffc5d1f600dc1de9699b28bd90",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-12T16:34:48Z",
    "title_canon_sha256": "2d0a1c1d9c60276c5f80e15847c76d5cea4e092b20ab676d01b706efa9566fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1831",
    "kind": "arxiv",
    "version": 1
  }
}