Pith Number

pith:VNIGH3C4

pith:2023:VNIGH3C47ALKB2D2AKQ4OE6UN3

not attested not anchored not stored refs pending

The weak Lefschetz property of whiskered graphs

Adam Van Tuyl, Lisa Nicklasson, Sara Faridi, Susan M. Cooper, Thiago Holleben

arxiv:2306.04393 v2 · 2023-06-07 · 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{VNIGH3C47ALKB2D2AKQ4OE6UN3}

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	2026-07-05T06:56:34.309392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5063ec5cf816a0e87a02a1c713d46ee576cf5e3c6221195793b8b7dfc2dad0

Aliases

arxiv: 2306.04393 · arxiv_version: 2306.04393v2 · doi: 10.48550/arxiv.2306.04393 · pith_short_12: VNIGH3C47ALK · pith_short_16: VNIGH3C47ALKB2D2 · pith_short_8: VNIGH3C4

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/VNIGH3C47ALKB2D2AKQ4OE6UN3 \
  | 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: ab5063ec5cf816a0e87a02a1c713d46ee576cf5e3c6221195793b8b7dfc2dad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534d0e463a777908d9bf0a0ea661581a85ad83f95b9409d823695202d00a0117",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-06-07T12:52:10Z",
    "title_canon_sha256": "2f32eae9328502b50792374f4d5ab7c9db0c86b2e41e07e7dbbda3e804f1592a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04393",
    "kind": "arxiv",
    "version": 2
  }
}