Pith Number

pith:76CAG3XQ

pith:2014:76CAG3XQY573UZZSDZZCAI3K2X

not attested not anchored not stored refs pending

Centralizers of Subsystems of Fusion Systems

Jason Semeraro

arxiv:1402.4981 v3 · 2014-02-20 · 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{76CAG3XQY573UZZSDZZCAI3K2X}

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	2026-05-18T02:35:52.166999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff84036ef0c77fba67321e7220236ad5d84b3fdb468bd59710be8ffcd3d5d0d5

Aliases

arxiv: 1402.4981 · arxiv_version: 1402.4981v3 · doi: 10.48550/arxiv.1402.4981 · pith_short_12: 76CAG3XQY573 · pith_short_16: 76CAG3XQY573UZZS · pith_short_8: 76CAG3XQ

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/76CAG3XQY573UZZSDZZCAI3K2X \
  | 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: ff84036ef0c77fba67321e7220236ad5d84b3fdb468bd59710be8ffcd3d5d0d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c7642d0b5bd78e0ea1a734c0bd14f54ef2250e38aa9726a18d8ce2cfa2f5fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-20T12:24:19Z",
    "title_canon_sha256": "41ed7b149b478b0432a1441ae71b03db4fb92b21651cc6b4d243c7624527f094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4981",
    "kind": "arxiv",
    "version": 3
  }
}