Pith Number

pith:M4PQRXII

pith:2003:M4PQRXIISDS7OY4PJAJYRR3BZN

not attested not anchored not stored refs pending

Construction of 2-local finite groups of a type studied by Solomon and Benson

Bob Oliver, Ran Levi

arxiv:math/0301084 v2 · 2003-01-09 · math.AT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4PQRXIISDS7OY4PJAJYRR3BZN}

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	2026-05-18T02:38:00.453887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671f08dd0890e5f7638f481388c761cb664247ebf0dec3c6c1b22eff7c264f2a

Aliases

arxiv: math/0301084 · arxiv_version: math/0301084v2 · doi: 10.48550/arxiv.math/0301084 · pith_short_12: M4PQRXIISDS7 · pith_short_16: M4PQRXIISDS7OY4P · pith_short_8: M4PQRXII

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/M4PQRXIISDS7OY4PJAJYRR3BZN \
  | 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: 671f08dd0890e5f7638f481388c761cb664247ebf0dec3c6c1b22eff7c264f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54415d0b2673e24a7c5c109ca195d85e5a9c6378244d06ec5851ff25da135e55",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-01-09T15:04:15Z",
    "title_canon_sha256": "27256f7de4d010b2f646a005cb55e734a6a1939f6a826d5e8cf303b326fc587c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301084",
    "kind": "arxiv",
    "version": 2
  }
}