Pith Number

pith:T5EJG2MY

pith:2016:T5EJG2MY3D76AT3GJD2KW5RWOI

not attested not anchored not stored refs pending

The Largest Pure Partial Planes of Order 6 Have Size 25

Yibo Gao

arxiv:1611.00084 v1 · 2016-10-31 · 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{T5EJG2MY3D76AT3GJD2KW5RWOI}

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	2026-05-18T01:00:41.464672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f48936998d8ffe04f6648f4ab7636721b69767d757df3302f29316eb022e098

Aliases

arxiv: 1611.00084 · arxiv_version: 1611.00084v1 · doi: 10.48550/arxiv.1611.00084 · pith_short_12: T5EJG2MY3D76 · pith_short_16: T5EJG2MY3D76AT3G · pith_short_8: T5EJG2MY

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/T5EJG2MY3D76AT3GJD2KW5RWOI \
  | 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: 9f48936998d8ffe04f6648f4ab7636721b69767d757df3302f29316eb022e098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c392214623851b76ceb0e1d34154d09ca6a24e511da4297b2199182ef3eec5db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-31T23:56:57Z",
    "title_canon_sha256": "28b33d1f81c383bc8cba558f3850c670a12a1883e315b39e861d8565db85c414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00084",
    "kind": "arxiv",
    "version": 1
  }
}