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Pith Number

pith:SGWC7Y7P

pith:2016:SGWC7Y7PBMNUYIK2ASE675J3QD
not attested not anchored not stored refs pending

Primitive groups, road closures, and idempotent generation

Jo\~ao Ara\'ujo, Peter J. Cameron

arxiv:1611.08233 v1 · 2016-11-24 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SGWC7Y7PBMNUYIK2ASE675J3QD}

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 2026-05-18T00:56:39.806487Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

91ac2fe3ef0b1b4c215a0489eff53b80f825eaff300ed52d8e944fef54d9a927

Aliases

arxiv: 1611.08233 · arxiv_version: 1611.08233v1 · doi: 10.48550/arxiv.1611.08233 · pith_short_12: SGWC7Y7PBMNU · pith_short_16: SGWC7Y7PBMNUYIK2 · pith_short_8: SGWC7Y7P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SGWC7Y7PBMNUYIK2ASE675J3QD \
  | 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: 91ac2fe3ef0b1b4c215a0489eff53b80f825eaff300ed52d8e944fef54d9a927
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4e8305ac3674071e3cac2dfda981141dd36db59dd77e631bee2794e8b477445a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-24T16:06:35Z",
    "title_canon_sha256": "078e2820a2bfcc04702c7cfaba2257882ea22f22350a15d24561e92d2f57c2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08233",
    "kind": "arxiv",
    "version": 1
  }
}