Pith Number

pith:X3QO3WCK

pith:2016:X3QO3WCKRQ2KHAMAHWG6QCVWJM

not attested not anchored not stored refs pending

A toric proof of B\'ezout's theorem for weighted projective spaces

Bernt Ivar Utst{\o}l N{\o}dland

arxiv:1604.02348 v1 · 2016-04-08 · 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{X3QO3WCKRQ2KHAMAHWG6QCVWJM}

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	2026-05-18T01:17:26.811098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee0edd84a8c34a381803d8de80ab64b0ce605b8b23d684933156bff036f1a96

Aliases

arxiv: 1604.02348 · arxiv_version: 1604.02348v1 · doi: 10.48550/arxiv.1604.02348 · pith_short_12: X3QO3WCKRQ2K · pith_short_16: X3QO3WCKRQ2KHAMA · pith_short_8: X3QO3WCK

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/X3QO3WCKRQ2KHAMAHWG6QCVWJM \
  | 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: bee0edd84a8c34a381803d8de80ab64b0ce605b8b23d684933156bff036f1a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fd5dceca0a1c19d72a06d6e883bff4d5b661d942716346a1a46b0a3aaac551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-08T13:17:17Z",
    "title_canon_sha256": "de4695e3c59e8671177799bb6104bfbbb8bea42da791f8a594f58ecbe5a5f1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02348",
    "kind": "arxiv",
    "version": 1
  }
}