Pith Number

pith:KPAD7DEL

pith:2008:KPAD7DELXFCOEM3XIWOI52CJAR

not attested not anchored not stored refs pending

Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations

Alexandru Dimca, Morihiko Saito

arxiv:0810.4896 v3 · 2008-10-27 · 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{KPAD7DELXFCOEM3XIWOI52CJAR}

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	2026-05-18T04:42:23.984059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c03f8c8bb944e23377459c8ee8490471ded4cf4945aabc061ef5cca2785e36

Aliases

arxiv: 0810.4896 · arxiv_version: 0810.4896v3 · doi: 10.48550/arxiv.0810.4896 · pith_short_12: KPAD7DELXFCO · pith_short_16: KPAD7DELXFCOEM3X · pith_short_8: KPAD7DEL

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/KPAD7DELXFCOEM3XIWOI52CJAR \
  | 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: 53c03f8c8bb944e23377459c8ee8490471ded4cf4945aabc061ef5cca2785e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c12d9fa288f5648dd9aa4af30f4ca59363cfdde8485f99029a12992644cf17f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-27T18:31:54Z",
    "title_canon_sha256": "396d36d12243d0b3551eda3e99cb1e2bd9cea7b3311a6f6babdea163ab087722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4896",
    "kind": "arxiv",
    "version": 3
  }
}