Pith Number

pith:4XYH3POM

pith:2003:4XYH3POMKPHFV5NJ5UUDMXLOOY

not attested not anchored not stored refs pending

The Kodaira dimension of spaces of rational curves on low degree hypersurfaces

Jason Starr

arxiv:math/0305432 v1 · 2003-05-29 · 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{4XYH3POMKPHFV5NJ5UUDMXLOOY}

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.

Cited by

1 paper in Pith

Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method

Receipt and verification

First computed	2026-07-04T14:37:20.900497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f07dbdcc53ce5af5a9ed28365d6e762110cdb28d1eefa79a46b3ed0cc77933

Aliases

arxiv: math/0305432 · arxiv_version: math/0305432v1 · doi: 10.48550/arxiv.math/0305432 · pith_short_12: 4XYH3POMKPHF · pith_short_16: 4XYH3POMKPHFV5NJ · pith_short_8: 4XYH3POM

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/4XYH3POMKPHFV5NJ5UUDMXLOOY \
  | 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: e5f07dbdcc53ce5af5a9ed28365d6e762110cdb28d1eefa79a46b3ed0cc77933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fc832e55e9c6feec3b6af150c01a91995e6915ca98358de67d00e81faf8843",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-05-29T20:22:20Z",
    "title_canon_sha256": "c98663d076d6865cc2fafa11850340d28c3a01c93e2d609ea478fa6ed2ad77b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305432",
    "kind": "arxiv",
    "version": 1
  }
}