Pith Number

pith:6UAV4R7I

pith:2013:6UAV4R7IGM6SXUFQ53JSQI7FT5

not attested not anchored not stored refs pending

On Thompson's $p$-complement theorems for saturated fusion systems

Albert Ruiz, Antonio Viruel, Jon Gonz\'alez-S\'anchez

arxiv:1304.5352 v2 · 2013-04-19 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UAV4R7IGM6SXUFQ53JSQI7FT5}

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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.

Receipt and verification

First computed	2026-05-18T00:18:36.569166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5015e47e8333d2bd0b0eed32823e59f7b4318f77881594612553bbb9ec453b8

Aliases

arxiv: 1304.5352 · arxiv_version: 1304.5352v2 · doi: 10.48550/arxiv.1304.5352 · pith_short_12: 6UAV4R7IGM6S · pith_short_16: 6UAV4R7IGM6SXUFQ · pith_short_8: 6UAV4R7I

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/6UAV4R7IGM6SXUFQ53JSQI7FT5 \
  | 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: f5015e47e8333d2bd0b0eed32823e59f7b4318f77881594612553bbb9ec453b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c1974ec9cac9d263ab3b18bf52cb23464e10e956553adf310057b24f7ee160",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-19T09:12:09Z",
    "title_canon_sha256": "3775567ac2436fb796a4d8cdc170b615fad9305be1bb102ee18c89022bcd12a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5352",
    "kind": "arxiv",
    "version": 2
  }
}