Pith Number

pith:Y2RQISQW

pith:2005:Y2RQISQW52MXXFSVJMQND2OGKF

not attested not anchored not stored refs pending

Resolution of Singularities -- Seattle Lecture

J\'anos Koll\'ar (Princeton Univ)

arxiv:math/0508332 v3 · 2005-08-17 · 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{Y2RQISQW52MXXFSVJMQND2OGKF}

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.

Cited by

1 paper in Pith

Differential Forms and Hodge Structures on Singular Varieties

Receipt and verification

First computed	2026-07-04T14:59:27.093499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f

Aliases

arxiv: math/0508332 · arxiv_version: math/0508332v3 · doi: 10.48550/arxiv.math/0508332 · pith_short_12: Y2RQISQW52MX · pith_short_16: Y2RQISQW52MXXFSV · pith_short_8: Y2RQISQW

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/Y2RQISQW52MXXFSVJMQND2OGKF \
  | 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: c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d4674ba53433c7bb0ed5592fcac49611a8af971b65f58b4d576ea8f137b1f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-08-17T18:43:11Z",
    "title_canon_sha256": "b8f975690dcc5a90eb468f9769a97323b8d59c11333728886c0e2c7e1fda26d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508332",
    "kind": "arxiv",
    "version": 3
  }
}