Pith Number

pith:VJU67KFA

pith:2013:VJU67KFAW4CVN2ET4JW5KFDOML

not attested not anchored not stored refs pending

Embedding cycles in finite planes

Felix Lazebnik, Keith E. Mellinger, Oscar Vega

arxiv:1305.2646 v1 · 2013-05-12 · 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{VJU67KFAW4CVN2ET4JW5KFDOML}

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	2026-05-18T03:25:57.276988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa69efa8a0b70556e893e26dd5146e62f90f1d456dfb0a9c1dda649b4491a3a3

Aliases

arxiv: 1305.2646 · arxiv_version: 1305.2646v1 · doi: 10.48550/arxiv.1305.2646 · pith_short_12: VJU67KFAW4CV · pith_short_16: VJU67KFAW4CVN2ET · pith_short_8: VJU67KFA

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/VJU67KFAW4CVN2ET4JW5KFDOML \
  | 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: aa69efa8a0b70556e893e26dd5146e62f90f1d456dfb0a9c1dda649b4491a3a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3350adc92ef1174637764dc67588ac8b009aa06d97fb64c30ca7dd4075f82ee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-12T23:50:00Z",
    "title_canon_sha256": "fe963e9f3d752f99eaca1c9962899a47361869377b4e6ea7eb13193e636b3885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2646",
    "kind": "arxiv",
    "version": 1
  }
}