Pith Number

pith:IWFHLEHZ

pith:2015:IWFHLEHZDHGELN3X2M27WKGXXI

not attested not anchored not stored refs pending

$K_{3,3}$-free Intersection Graphs of Finite Groups

Sel\c{c}uk Kayacan

arxiv:1512.05113 v2 · 2015-12-16 · math.GR · 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{IWFHLEHZDHGELN3X2M27WKGXXI}

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	2026-05-18T01:10:07.864932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

458a7590f919cc45b777d335fb28d7ba38ccab9fdbd225fd5ac41088a8dfc529

Aliases

arxiv: 1512.05113 · arxiv_version: 1512.05113v2 · doi: 10.48550/arxiv.1512.05113 · pith_short_12: IWFHLEHZDHGE · pith_short_16: IWFHLEHZDHGELN3X · pith_short_8: IWFHLEHZ

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/IWFHLEHZDHGELN3X2M27WKGXXI \
  | 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: 458a7590f919cc45b777d335fb28d7ba38ccab9fdbd225fd5ac41088a8dfc529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ab533786b381d7033068c7f9e8d1148e65d41514795663c755d893253a6796",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-16T10:23:22Z",
    "title_canon_sha256": "4322705837a0320978bf46d90d294359fed188d7f442b4764d07893f1e882617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05113",
    "kind": "arxiv",
    "version": 2
  }
}