Pith Number

pith:ZCTGUUTS

pith:2009:ZCTGUUTSFWLOMLRB7UJ4XAK5SS

not attested not anchored not stored refs pending

Every flock generalised quadrangle has a hemisystem

Gordon Royle, John Bamberg, Michael Giudici

arxiv:0912.2574 v1 · 2009-12-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCTGUUTSFWLOMLRB7UJ4XAK5SS}

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	2026-05-18T03:52:51.660837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a66a52722d96e62e21fd13cb815d94a5f4381b7b65f1c45678dcadbad2dba0

Aliases

arxiv: 0912.2574 · arxiv_version: 0912.2574v1 · doi: 10.48550/arxiv.0912.2574 · pith_short_12: ZCTGUUTSFWLO · pith_short_16: ZCTGUUTSFWLOMLRB · pith_short_8: ZCTGUUTS

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/ZCTGUUTSFWLOMLRB7UJ4XAK5SS \
  | 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: c8a66a52722d96e62e21fd13cb815d94a5f4381b7b65f1c45678dcadbad2dba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a851588ed44ba3253f0ab85e3b159250bd392e6488937e477110dd28f7805336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-14T05:05:14Z",
    "title_canon_sha256": "b18bb5525c675c6d0c05543c195861bce2868d7a8b48f9f06dd6ed31deb76adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2574",
    "kind": "arxiv",
    "version": 1
  }
}