Pith Number

pith:24OPDV3X

pith:2016:24OPDV3X2K4TMZOLIHTVYSY3KG

not attested not anchored not stored refs pending

Fusion systems over a Sylow $p$-subgroup of $\mathrm{G}_2(p)$

Chris Parker, Jason Semeraro

arxiv:1608.08399 v2 · 2016-08-30 · 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{24OPDV3X2K4TMZOLIHTVYSY3KG}

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	2026-05-18T00:41:01.680680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71cf1d777d2b93665cb41e75c4b1b51b3258d88d00e7fa5acf3ef2b5116e780

Aliases

arxiv: 1608.08399 · arxiv_version: 1608.08399v2 · doi: 10.48550/arxiv.1608.08399 · pith_short_12: 24OPDV3X2K4T · pith_short_16: 24OPDV3X2K4TMZOL · pith_short_8: 24OPDV3X

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/24OPDV3X2K4TMZOLIHTVYSY3KG \
  | 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: d71cf1d777d2b93665cb41e75c4b1b51b3258d88d00e7fa5acf3ef2b5116e780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab4c662ee8937fbf8316e8451187be280af9b40d40434990f29dd829a59f17a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-30T10:50:22Z",
    "title_canon_sha256": "9454ac5a5cd1bc9bc09446b607142bbebb47f546332217ca56de06f8a9a8b98e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08399",
    "kind": "arxiv",
    "version": 2
  }
}