Pith Number

pith:ZBZLYSOF

pith:2014:ZBZLYSOFNJAZNSWZ6RRF7ULL6V

not attested not anchored not stored refs pending

Blowups and fibers of morphisms

Andrew R. Kustin, Bernd Ulrich, Claudia Polini

arxiv:1410.3172 v3 · 2014-10-13 · math.AC · 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{ZBZLYSOFNJAZNSWZ6RRF7ULL6V}

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	2026-05-18T02:27:44.155705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c872bc49c56a4196cad9f4625fd16bf56bae36322b80131c0f98a36260ff920a

Aliases

arxiv: 1410.3172 · arxiv_version: 1410.3172v3 · doi: 10.48550/arxiv.1410.3172 · pith_short_12: ZBZLYSOFNJAZ · pith_short_16: ZBZLYSOFNJAZNSWZ · pith_short_8: ZBZLYSOF

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/ZBZLYSOFNJAZNSWZ6RRF7ULL6V \
  | 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: c872bc49c56a4196cad9f4625fd16bf56bae36322b80131c0f98a36260ff920a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa958c4c3f4dec854e8c8b89d7a1627b3aa0947e990171d5a8753773552c09d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-10-13T01:10:16Z",
    "title_canon_sha256": "734c7fb1cdd367812802900c00afdd4de86089e1b60283b8e46c877faf428b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3172",
    "kind": "arxiv",
    "version": 3
  }
}