Pith Number

pith:HQO7FKOJ

pith:2014:HQO7FKOJPKRYFSXTYIT6OJSOPH

not attested not anchored not stored refs pending

Crossing numbers of periodic graphs

Bojan Mohar, Zdenek Dvorak

arxiv:1405.5117 v1 · 2014-05-20 · 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{HQO7FKOJPKRYFSXTYIT6OJSOPH}

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	2026-05-18T02:51:32.059433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1df2a9c97aa382caf3c227e7264e79e22649adffb6b12403321845663ef63a

Aliases

arxiv: 1405.5117 · arxiv_version: 1405.5117v1 · doi: 10.48550/arxiv.1405.5117 · pith_short_12: HQO7FKOJPKRY · pith_short_16: HQO7FKOJPKRYFSXT · pith_short_8: HQO7FKOJ

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/HQO7FKOJPKRYFSXTYIT6OJSOPH \
  | 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: 3c1df2a9c97aa382caf3c227e7264e79e22649adffb6b12403321845663ef63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787fb6a2b4cd02f977e8358739b27cc5397497fb5af39092e24a7b9403ba16c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-20T15:18:54Z",
    "title_canon_sha256": "86c20d69c55683a89486a1d37606c6697d35bbe0ba08b7499f9526c939a0e275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5117",
    "kind": "arxiv",
    "version": 1
  }
}