Pith Number

pith:GBI6VNCR

pith:2017:GBI6VNCRQOH7ACSTD75F47BOQX

not attested not anchored not stored refs pending

On the Maximum Crossing Number

Alexander Wolff, Markus Chimani, Pavel Valtr, Stefan Felsner, Stephen Kobourov, Torsten Ueckerdt

arxiv:1705.05176 v1 · 2017-05-15 · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBI6VNCRQOH7ACSTD75F47BOQX}

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	2026-05-18T00:44:32.737373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3051eab451838ff00a531ffa5e7c2e85e4f4c9e5d063f03486e38cc0d7ebb4e1

Aliases

arxiv: 1705.05176 · arxiv_version: 1705.05176v1 · doi: 10.48550/arxiv.1705.05176 · pith_short_12: GBI6VNCRQOH7 · pith_short_16: GBI6VNCRQOH7ACST · pith_short_8: GBI6VNCR

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/GBI6VNCRQOH7ACSTD75F47BOQX \
  | 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: 3051eab451838ff00a531ffa5e7c2e85e4f4c9e5d063f03486e38cc0d7ebb4e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4492c2159e443725d59ab7dfa834cbef7673f877e8be7de9fabc885a9d0b9e93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-05-15T11:57:54Z",
    "title_canon_sha256": "54ccbbd153e2cab7b09a381773fce1ed3a40d7accd64eb1e213d60a3fcb7a286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05176",
    "kind": "arxiv",
    "version": 1
  }
}