Pith Number

pith:UGFBC2DZ

pith:2017:UGFBC2DZCYYRTX2VQSXN4E7ZOC

not attested not anchored not stored refs pending

The binary $q$-analogue of the Fano plane has a trivial automorphism group

Ferdinand Ihringer, Gordon Royle, Jesse Lansdown, John Bamberg

arxiv:1709.05145 v2 · 2017-09-15 · 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{UGFBC2DZCYYRTX2VQSXN4E7ZOC}

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	2026-05-18T00:33:27.346831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18a116879163119df5584aede13f970bd9e44af9ec7864525198a5eee11767f

Aliases

arxiv: 1709.05145 · arxiv_version: 1709.05145v2 · doi: 10.48550/arxiv.1709.05145 · pith_short_12: UGFBC2DZCYYR · pith_short_16: UGFBC2DZCYYRTX2V · pith_short_8: UGFBC2DZ

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/UGFBC2DZCYYRTX2VQSXN4E7ZOC \
  | 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: a18a116879163119df5584aede13f970bd9e44af9ec7864525198a5eee11767f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa046c04f85b9ce80b76873895dd3f9564021224f28423f8ef252314d846251a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-15T10:39:33Z",
    "title_canon_sha256": "f55af97492dac92a80f688042a051c610be1b8e6fe8df3aaa67dad21be7f0b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05145",
    "kind": "arxiv",
    "version": 2
  }
}