Pith Number

pith:34ZD3W5W

pith:2010:34ZD3W5WQCGD5V4Q2PIZ3CYUU6

not attested not anchored not stored refs pending

The probability that a complete intersection is smooth

Alina Bucur, Kiran S. Kedlaya

arxiv:1003.5222 v3 · 2010-03-26 · math.NT · 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{34ZD3W5WQCGD5V4Q2PIZ3CYUU6}

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	2026-05-18T02:24:26.524092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df323ddbb6808c3ed790d3d19d8b14a7b02854ea6f436a5f4bd67d515572a385

Aliases

arxiv: 1003.5222 · arxiv_version: 1003.5222v3 · doi: 10.48550/arxiv.1003.5222 · pith_short_12: 34ZD3W5WQCGD · pith_short_16: 34ZD3W5WQCGD5V4Q · pith_short_8: 34ZD3W5W

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/34ZD3W5WQCGD5V4Q2PIZ3CYUU6 \
  | 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: df323ddbb6808c3ed790d3d19d8b14a7b02854ea6f436a5f4bd67d515572a385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56b0dbf382793d3e7629d8d391cdbef1ce8c61f764c3d5bc89283dd11baab7c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-26T20:28:59Z",
    "title_canon_sha256": "56fdd871a7bb6c462ab0afdfabfbca0e45558af0e5703bee937c2d3dde0ba053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5222",
    "kind": "arxiv",
    "version": 3
  }
}