Pith Number

pith:LJ6UGQJN

pith:2025:LJ6UGQJNHKG35S2PK665D2G4XP

not attested not anchored not stored refs pending

Classifying the groups of order $p q$ in Lean

Peiran Wu, Scott Harper

arxiv:2501.09769 v2 · 2025-01-16 · cs.LO · math.GR

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\usepackage{pith}
\pithnumber{LJ6UGQJNHKG35S2PK665D2G4XP}

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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.

Cited by

1 paper in Pith

Classifying the Groups of Order $p^3$ in Lean

Receipt and verification

First computed	2026-07-05T10:03:51.102331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7d43412d3a8dbecb4f57bdd1e8dcbbf309f84a2f4bfaeceab67df3ae4dff17

Aliases

arxiv: 2501.09769 · arxiv_version: 2501.09769v2 · doi: 10.48550/arxiv.2501.09769 · pith_short_12: LJ6UGQJNHKG3 · pith_short_16: LJ6UGQJNHKG35S2P · pith_short_8: LJ6UGQJN

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/LJ6UGQJNHKG35S2PK665D2G4XP \
  | 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: 5a7d43412d3a8dbecb4f57bdd1e8dcbbf309f84a2f4bfaeceab67df3ae4dff17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "151eecdca41dfd9be0b7c31c113358971e59b7e72a3c81be31f102b23008252c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-01-16T14:46:01Z",
    "title_canon_sha256": "e2f96a4efdc5010830809a2e72d4a5434f5d637d06364804db9bcd7f6df15670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09769",
    "kind": "arxiv",
    "version": 2
  }
}