Pith Number

pith:HZWUFO4F

pith:2002:HZWUFO4FUOZPSENZM2EG5DRSXP

not attested not anchored not stored refs pending

Counting rational curves of arbitrary shape in projective spaces

Aleksey Zinger

arxiv:math/0210146 v3 · 2002-10-09 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZWUFO4FUOZPSENZM2EG5DRSXP}

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	2026-05-18T02:38:00.536958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e6d42bb85a3b2f911b966886e8e32bbdc0308e84667651d76b5f84e6567a524

Aliases

arxiv: math/0210146 · arxiv_version: math/0210146v3 · doi: 10.48550/arxiv.math/0210146 · pith_short_12: HZWUFO4FUOZP · pith_short_16: HZWUFO4FUOZPSENZ · pith_short_8: HZWUFO4F

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/HZWUFO4FUOZPSENZM2EG5DRSXP \
  | 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: 3e6d42bb85a3b2f911b966886e8e32bbdc0308e84667651d76b5f84e6567a524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c8a2343aa98ad7a3f50412ffbc7c5aa3787747e609e9174a39971c3ceeefb9",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-10-09T19:37:19Z",
    "title_canon_sha256": "e71cfc18e8573b295cda39c5676255863f46865c1d14f44a4fae841fef10f13b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210146",
    "kind": "arxiv",
    "version": 3
  }
}