Pith Number

pith:M6EWX7V2

pith:2013:M6EWX7V2JJWIZFTVIOPEQMP5OU

not attested not anchored not stored refs pending

On the Weak Lefschetz Property for Artinian Gorenstein algebras of codimension three

Fabrizio Zanello, Juan Migliore, Mats Boij, Rosa M. Miro'-Roig, Uwe Nagel

arxiv:1302.5742 v2 · 2013-02-22 · math.AC · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6EWX7V2JJWIZFTVIOPEQMP5OU}

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	2026-05-18T03:01:10.865423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67896bfeba4a6c8c9675439e4831fd7525186ac0481870303cf5d5ec4493a380

Aliases

arxiv: 1302.5742 · arxiv_version: 1302.5742v2 · doi: 10.48550/arxiv.1302.5742 · pith_short_12: M6EWX7V2JJWI · pith_short_16: M6EWX7V2JJWIZFTV · pith_short_8: M6EWX7V2

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/M6EWX7V2JJWIZFTVIOPEQMP5OU \
  | 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: 67896bfeba4a6c8c9675439e4831fd7525186ac0481870303cf5d5ec4493a380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4eb62c8182568c9f9c26f918fe26ed7e60095646573a1584eb221f774ea689",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-22T23:56:40Z",
    "title_canon_sha256": "c5e925c29e591e888cc47c8b9e0688684c50036ec39635ce0b2550156d7a6da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5742",
    "kind": "arxiv",
    "version": 2
  }
}