Pith Number

pith:Z6NHFHTE

pith:2005:Z6NHFHTEALWRMD7MVKYJQVUZPU

not attested not anchored not stored refs pending

On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface

Jaeyoo Choy, Young-Hoon Kiem

arxiv:math/0505239 v1 · 2005-05-12 · 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{Z6NHFHTEALWRMD7MVKYJQVUZPU}

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	2026-07-04T14:39:58.384334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840

Aliases

arxiv: math/0505239 · arxiv_version: math/0505239v1 · doi: 10.48550/arxiv.math/0505239 · pith_short_12: Z6NHFHTEALWR · pith_short_16: Z6NHFHTEALWRMD7M · pith_short_8: Z6NHFHTE

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/Z6NHFHTEALWRMD7MVKYJQVUZPU \
  | 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: cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06074d9834333776e9537a61710355aac097753f393b8b01494190427907adc3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-12T03:51:37Z",
    "title_canon_sha256": "97ff027bd8cf8ade9392bad772c6e856e0ff124181d01bcd0dddbc70e2d04f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505239",
    "kind": "arxiv",
    "version": 1
  }
}