Pith Number

pith:744VFEUJ

pith:2005:744VFEUJM4BHCCGOWXIHKBLB6B

not attested not anchored not stored refs pending

Factorization Theorem for Projective Varieties with Finite Quotient Singularities

Yi Hu

arxiv:math/0502461 v1 · 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{744VFEUJM4BHCCGOWXIHKBLB6B}

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	2026-07-04T14:39:44.404153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff3952928967027108ceb5d0750561f05a38674425cf17c83610c35f3a62ba8e

Aliases

arxiv: math/0502461 · arxiv_version: math/0502461v1 · doi: 10.48550/arxiv.math/0502461 · pith_short_12: 744VFEUJM4BH · pith_short_16: 744VFEUJM4BHCCGO · pith_short_8: 744VFEUJ

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/744VFEUJM4BHCCGOWXIHKBLB6B \
  | 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: ff3952928967027108ceb5d0750561f05a38674425cf17c83610c35f3a62ba8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5957fdb71bc9bddc8e74209df72e39486f52d8a8d78363a48c3747a5cf9e77",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-22T17:51:32Z",
    "title_canon_sha256": "1300c757fb666c6506f956f15a03979a37ef96635f49bcfabef6147db6a8d1fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502461",
    "kind": "arxiv",
    "version": 1
  }
}