Pith Number

pith:WBZL2GSX

pith:2012:WBZL2GSXTT7AVZQWQ73SXFP2BP

not attested not anchored not stored refs pending

A structure theorem for unions of complete intersections

Alfio Ragusa, Giuseppe Zappala

arxiv:1210.4003 v1 · 2012-10-15 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBZL2GSXTT7AVZQWQ73SXFP2BP}

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	2026-05-18T03:43:08.313471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b072bd1a579cfe0ae61687f72b95fa0bcd1538625d19c7e08264a4eedd06b4a1

Aliases

arxiv: 1210.4003 · arxiv_version: 1210.4003v1 · doi: 10.48550/arxiv.1210.4003 · pith_short_12: WBZL2GSXTT7A · pith_short_16: WBZL2GSXTT7AVZQW · pith_short_8: WBZL2GSX

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/WBZL2GSXTT7AVZQWQ73SXFP2BP \
  | 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: b072bd1a579cfe0ae61687f72b95fa0bcd1538625d19c7e08264a4eedd06b4a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6251206ff31d2242d602171d75b138203b232428bfeab88b6948539df67fa64d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-15T12:39:24Z",
    "title_canon_sha256": "f6cd0fcfce0a0df90aee9b3b7ceb70af28ef0ff4b02df4c5a53c4b35b76c6282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4003",
    "kind": "arxiv",
    "version": 1
  }
}