Pith Number

pith:GFHCKEDG

pith:2010:GFHCKEDGRT5ZTDMTUFMZ56DT5P

not attested not anchored not stored refs pending

The Gieseker-Petri divisor in M_g for genus g<=13

Margherita Lelli-Chiesa

arxiv:1012.3061 v1 · 2010-12-14 · 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{GFHCKEDGRT5ZTDMTUFMZ56DT5P}

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	2026-05-18T03:34:03.707836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314e2510668cfb998d93a1599ef873ebf40da6b97b62936cefaca31a988c8ee2

Aliases

arxiv: 1012.3061 · arxiv_version: 1012.3061v1 · doi: 10.48550/arxiv.1012.3061 · pith_short_12: GFHCKEDGRT5Z · pith_short_16: GFHCKEDGRT5ZTDMT · pith_short_8: GFHCKEDG

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/GFHCKEDGRT5ZTDMTUFMZ56DT5P \
  | 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: 314e2510668cfb998d93a1599ef873ebf40da6b97b62936cefaca31a988c8ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb884deaab523c107f950266fbac0e871015c40c92a687316df26279274469d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-14T15:36:06Z",
    "title_canon_sha256": "66e8bf15a3c774b65fdba8ccd388e80fe34c4f755e33c2a90280b5107cd76884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3061",
    "kind": "arxiv",
    "version": 1
  }
}