Pith Number

pith:B7Y72YKH

pith:2010:B7Y72YKHFEQ2ITCEHWHQYSN7NO

not attested not anchored not stored refs pending

Absolute desingularization in characteristic zero

Michael Temkin

arxiv:1001.5433 v2 · 2010-01-29 · 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{B7Y72YKHFEQ2ITCEHWHQYSN7NO}

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	2026-05-18T03:46:49.543495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff1fd61472921a44c443d8f0c49bf6baf2cb0478e2e535634964833d919d678

Aliases

arxiv: 1001.5433 · arxiv_version: 1001.5433v2 · doi: 10.48550/arxiv.1001.5433 · pith_short_12: B7Y72YKHFEQ2 · pith_short_16: B7Y72YKHFEQ2ITCE · pith_short_8: B7Y72YKH

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/B7Y72YKHFEQ2ITCEHWHQYSN7NO \
  | 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: 0ff1fd61472921a44c443d8f0c49bf6baf2cb0478e2e535634964833d919d678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d724c2f7484e8584909df8a234829152480106b528bc0bf3064ccfb2138cbce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-29T18:03:10Z",
    "title_canon_sha256": "8c34575c1c9211ddfc71f1cc25ee7ec12f13a7f69ffa8ed1dc35a60d8cd7b9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5433",
    "kind": "arxiv",
    "version": 2
  }
}