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Pith Number

pith:WD23UOYD

pith:2011:WD23UOYDHP4Z3VI6GO35K2RGMC
not attested not anchored not stored refs pending

Generalised quadrangles with a group of automorphisms acting primitively on points and lines

Gordon F. Royle, John Bamberg, Joy Morris, Michael Giudici, Pablo Spiga

arxiv:1107.3909 v1 · 2011-07-20 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WD23UOYDHP4Z3VI6GO35K2RGMC}

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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 2026-05-18T03:52:51.212923Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b0f5ba3b033bf99dd51e33b7d56a26608ab5da5124539791b4a72b1e0d1f6a87

Aliases

arxiv: 1107.3909 · arxiv_version: 1107.3909v1 · doi: 10.48550/arxiv.1107.3909 · pith_short_12: WD23UOYDHP4Z · pith_short_16: WD23UOYDHP4Z3VI6 · pith_short_8: WD23UOYD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WD23UOYDHP4Z3VI6GO35K2RGMC \
  | 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: b0f5ba3b033bf99dd51e33b7d56a26608ab5da5124539791b4a72b1e0d1f6a87
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d51dea300438851af8cf03e2ca6e0326bb5ac7cf32fd374982711c930fa52b86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-20T07:09:33Z",
    "title_canon_sha256": "38b77f013e1baadf79cf3add40c3519de972db02cde99d3a2529bb4f201c6634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3909",
    "kind": "arxiv",
    "version": 1
  }
}