Pith Number

pith:NUGNYSH5

pith:2010:NUGNYSH5WML6TRGZFWRAMCKZXT

not attested not anchored not stored refs pending

Hemisystems of small flock generalized quadrangles

Gordon F. Royle, John Bamberg, Michael Giudici

arxiv:1012.3819 v3 · 2010-12-17 · 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{NUGNYSH5WML6TRGZFWRAMCKZXT}

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	2026-05-18T03:52:51.485465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0cdc48fdb317e9c4d92da2060959bce179f64c055251d3586dfbb1c8f9e2c3

Aliases

arxiv: 1012.3819 · arxiv_version: 1012.3819v3 · doi: 10.48550/arxiv.1012.3819 · pith_short_12: NUGNYSH5WML6 · pith_short_16: NUGNYSH5WML6TRGZ · pith_short_8: NUGNYSH5

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/NUGNYSH5WML6TRGZFWRAMCKZXT \
  | 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: 6d0cdc48fdb317e9c4d92da2060959bce179f64c055251d3586dfbb1c8f9e2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa1b8f9e5d8e240eb150c4bf3231b6ac76cf242b2d88cf5335c69fc167202517",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-17T07:29:15Z",
    "title_canon_sha256": "e6b65e528a755efcd392f262b8238acc1db527c696b2f440be8f715dc77ae8b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3819",
    "kind": "arxiv",
    "version": 3
  }
}