Pith Number

pith:FNWJB6YB

pith:2006:FNWJB6YBNSEUBRULZHAEYJPHPR

not attested not anchored not stored refs pending

Obstructions to deforming curves on a 3-fold, II: Deformations of degenerate curves on a del Pezzo 3-fold

Hirokazu Nasu

arxiv:math/0609286 v2 · 2006-09-11 · 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{FNWJB6YBNSEUBRULZHAEYJPHPR}

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	2026-05-18T01:21:45.619598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6c90fb016c8940c68bc9c04c25e77c793b4ff3336fe7e51f96fb669c7f7a7c

Aliases

arxiv: math/0609286 · arxiv_version: math/0609286v2 · doi: 10.48550/arxiv.math/0609286 · pith_short_12: FNWJB6YBNSEU · pith_short_16: FNWJB6YBNSEUBRUL · pith_short_8: FNWJB6YB

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/FNWJB6YBNSEUBRULZHAEYJPHPR \
  | 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: 2b6c90fb016c8940c68bc9c04c25e77c793b4ff3336fe7e51f96fb669c7f7a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca464de2e9a0ade6a55f10207ab02d353b3a3b1ea1d9fd2cea3e0371e3a4f7c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-09-11T14:40:00Z",
    "title_canon_sha256": "4aec84ff2f01149ada6c8cba7ea1a25b0e52e6cfe3994f0367150c1e977490b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609286",
    "kind": "arxiv",
    "version": 2
  }
}