Pith Number

pith:H47FGOGI

pith:2011:H47FGOGIDEBVYALCCCEYYGJYIU

not attested not anchored not stored refs pending

Enumerations deciding the weak Lefschetz property

David Cook II, Uwe Nagel

arxiv:1105.6062 v2 · 2011-05-30 · math.AC · 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{H47FGOGIDEBVYALCCCEYYGJYIU}

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	2026-05-18T04:05:59.220092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3e5338c819035c016210898c1938450ae36cb17d5c5df634cbf39ebf40ae62

Aliases

arxiv: 1105.6062 · arxiv_version: 1105.6062v2 · doi: 10.48550/arxiv.1105.6062 · pith_short_12: H47FGOGIDEBV · pith_short_16: H47FGOGIDEBVYALC · pith_short_8: H47FGOGI

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/H47FGOGIDEBVYALCCCEYYGJYIU \
  | 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: 3f3e5338c819035c016210898c1938450ae36cb17d5c5df634cbf39ebf40ae62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f11a37b99e01317cd8fd9ad8129c78a31e8f0063d56e5595d14272001c8051b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-30T18:33:05Z",
    "title_canon_sha256": "d027bfc89eca4058865da88168f22ef1d9642af9517c131b626dbf445ed93492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6062",
    "kind": "arxiv",
    "version": 2
  }
}