Pith Number

pith:Y2CWONMN

pith:2002:Y2CWONMN7346AI4JW47L3SYTAN

not attested not anchored not stored refs pending

Bertini theorems over finite fields

Bjorn Poonen

arxiv:math/0204002 v1 · 2002-03-29 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2CWONMN7346AI4JW47L3SYTAN}

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	2026-05-18T00:47:32.038773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c68567358dfef9e02389b73ebdcb13036c8df12709930b8261ce44b28afdbb27

Aliases

arxiv: math/0204002 · arxiv_version: math/0204002v1 · doi: 10.48550/arxiv.math/0204002 · pith_short_12: Y2CWONMN7346 · pith_short_16: Y2CWONMN7346AI4J · pith_short_8: Y2CWONMN

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/Y2CWONMN7346AI4JW47L3SYTAN \
  | 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: c68567358dfef9e02389b73ebdcb13036c8df12709930b8261ce44b28afdbb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6cdceaea76422c3d6436cf127e3d9c568751eba02672e5e5036e45c47ed165",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-03-29T22:03:50Z",
    "title_canon_sha256": "e288b04cdd85284b707c9de8963080da41ff4f4b448b7f5f94423db8a9c87cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204002",
    "kind": "arxiv",
    "version": 1
  }
}