Pith Number

pith:KGTVYT5F

pith:2019:KGTVYT5FOR5KJGKICYJAZSRY6G

not attested not anchored not stored refs pending

On the Intersection Numbers of Finite Groups

Humberto Bautista Serrano, Kassie Archer, Kayla Cook, L.-K. Lauderdale, Vincent Villalobos, Yansy Perez

arxiv:1907.02898 v1 · 2019-07-05 · 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{KGTVYT5FOR5KJGKICYJAZSRY6G}

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	2026-05-17T23:41:22.678462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a75c4fa5747aa4994816120cca38f1990d9232903505bc83d2654c58c4612e

Aliases

arxiv: 1907.02898 · arxiv_version: 1907.02898v1 · doi: 10.48550/arxiv.1907.02898 · pith_short_12: KGTVYT5FOR5K · pith_short_16: KGTVYT5FOR5KJGKI · pith_short_8: KGTVYT5F

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/KGTVYT5FOR5KJGKICYJAZSRY6G \
  | 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: 51a75c4fa5747aa4994816120cca38f1990d9232903505bc83d2654c58c4612e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf86fad020ff7038fe2f934067c4d3cb3f1ee0c48a6e66b4259983514f1a4546",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-05T15:33:05Z",
    "title_canon_sha256": "8177051e8c62b2d9c6c53263ad12eedb5c837959af623ab0c5f4f5385fa3c8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02898",
    "kind": "arxiv",
    "version": 1
  }
}