Pith Number

pith:DXBY6YVS

pith:2006:DXBY6YVS5T7LC52SCPAGDTXFR3

not attested not anchored not stored refs pending

Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford's example and an application to Hom schemes

Hirokazu Nasu, Shigeru Mukai

arxiv:math/0609284 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{DXBY6YVS5T7LC52SCPAGDTXFR3}

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	2026-05-18T01:21:45.627660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc38f62b2ecfeb1775213c061cee58efebaaa2af44e79ae4bd44c9509236287

Aliases

arxiv: math/0609284 · arxiv_version: math/0609284v2 · doi: 10.48550/arxiv.math/0609284 · pith_short_12: DXBY6YVS5T7L · pith_short_16: DXBY6YVS5T7LC52S · pith_short_8: DXBY6YVS

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/DXBY6YVS5T7LC52SCPAGDTXFR3 \
  | 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: 1dc38f62b2ecfeb1775213c061cee58efebaaa2af44e79ae4bd44c9509236287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f57261a446f2178d2fd4a155489d15c4ea320bf85937db81b2d803c613c23ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-09-11T14:49:27Z",
    "title_canon_sha256": "7e8bd9109892ca9144c252a8e3269f2693b7e9c0abe9d45c7999b19ee63f63f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609284",
    "kind": "arxiv",
    "version": 2
  }
}