Pith Number

pith:T22JZBWD

pith:2011:T22JZBWDMT7STCTQXYZ4X7MQEW

not attested not anchored not stored refs pending

Oka theory of blow-ups

Finnur Larusson

arxiv:1111.2079 v3 · 2011-11-08 · math.CV · 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{T22JZBWDMT7STCTQXYZ4X7MQEW}

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	2026-05-18T03:59:49.295303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb49c86c364ff298a70be33cbfd9025bf42fa9474d6af5fc27121d2554477ef

Aliases

arxiv: 1111.2079 · arxiv_version: 1111.2079v3 · doi: 10.48550/arxiv.1111.2079 · pith_short_12: T22JZBWDMT7S · pith_short_16: T22JZBWDMT7STCTQ · pith_short_8: T22JZBWD

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/T22JZBWDMT7STCTQXYZ4X7MQEW \
  | 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: 9eb49c86c364ff298a70be33cbfd9025bf42fa9474d6af5fc27121d2554477ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f46fe3279885dfd839e6eca879eb2175c40b3e03ca49e17c93287e948055cdde",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-11-08T23:32:53Z",
    "title_canon_sha256": "c7e064c38f0095e20833fc5d3afab4438ae6d4083d4a3f8da69f618a90f736ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2079",
    "kind": "arxiv",
    "version": 3
  }
}