Pith Number

pith:OWT7YUY7

pith:2005:OWT7YUY7KQGCM33O37PHI3Z7Q3

not attested not anchored not stored refs pending

Geometric Invariant Theory and Birational Geometry

Yi Hu

arxiv:math/0502462 v3 · 2005-02-22 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWT7YUY7KQGCM33O37PHI3Z7Q3}

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	2026-07-04T14:39:44.416342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75a7fc531f540c266f6edfde746f3f86f7e48e0ffcb757dc4240ccadb6a94286

Aliases

arxiv: math/0502462 · arxiv_version: math/0502462v3 · doi: 10.48550/arxiv.math/0502462 · pith_short_12: OWT7YUY7KQGC · pith_short_16: OWT7YUY7KQGCM33O · pith_short_8: OWT7YUY7

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/OWT7YUY7KQGCM33O37PHI3Z7Q3 \
  | 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: 75a7fc531f540c266f6edfde746f3f86f7e48e0ffcb757dc4240ccadb6a94286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd95be231bc65722e115696882a3d9814defcf1f1b51decff96a61467c0aac8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-22T18:10:08Z",
    "title_canon_sha256": "bc405f6d5f68cfe76f596907f8e858466f0ea825a7a4b8dd56cffa9a7da73ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502462",
    "kind": "arxiv",
    "version": 3
  }
}