Pith Number

pith:NF5YVSAM

pith:2004:NF5YVSAMERX3I6EWSSLG7RFSES

not attested not anchored not stored refs pending

Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces

Ch. Okonek, M. Duerr

arxiv:math/0408130 v1 · 2004-08-10 · 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{NF5YVSAMERX3I6EWSSLG7RFSES}

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	2026-05-18T01:05:26.119092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697b8ac80c246fb4789694966fc4b224aba98e20377f9d57c359ebe87b31b5c1

Aliases

arxiv: math/0408130 · arxiv_version: math/0408130v1 · doi: 10.48550/arxiv.math/0408130 · pith_short_12: NF5YVSAMERX3 · pith_short_16: NF5YVSAMERX3I6EW · pith_short_8: NF5YVSAM

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/NF5YVSAMERX3I6EWSSLG7RFSES \
  | 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: 697b8ac80c246fb4789694966fc4b224aba98e20377f9d57c359ebe87b31b5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86ab46104105a9cbdb06df4eb2715eacd9f8348457abc2357e4d7aaf96d3036",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-08-10T11:42:23Z",
    "title_canon_sha256": "6798503f3a7ef94b1add7ec5efd299c54c282830419a76f2d49dbab253c898d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408130",
    "kind": "arxiv",
    "version": 1
  }
}