Pith Number

pith:4S7KWV2S

pith:2013:4S7KWV2SDT7GDR4LUQ7UJQJV3X

not attested not anchored not stored refs pending

On the facial Thue choice number of plane graphs via entropy compression method

Erika \v{S}krabu\v{l}\'akov\'a, Jakub Przyby{\l}o, Jens Schreyer

arxiv:1308.5128 v3 · 2013-08-23 · 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{4S7KWV2SDT7GDR4LUQ7UJQJV3X}

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	2026-05-18T03:12:59.572429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4beab57521cfe61c78ba43f44c135ddcaba8fd60d75ab20637555fd3389cf46

Aliases

arxiv: 1308.5128 · arxiv_version: 1308.5128v3 · doi: 10.48550/arxiv.1308.5128 · pith_short_12: 4S7KWV2SDT7G · pith_short_16: 4S7KWV2SDT7GDR4L · pith_short_8: 4S7KWV2S

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/4S7KWV2SDT7GDR4LUQ7UJQJV3X \
  | 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: e4beab57521cfe61c78ba43f44c135ddcaba8fd60d75ab20637555fd3389cf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50db12c4147b287cf3f657fcb7731522dbf2f9997222629bc235d7f49d4ee441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-23T14:06:30Z",
    "title_canon_sha256": "4764cb37f717875695b45d2c32982f48fd39d15adcf7582aa4636e40ff3e52de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5128",
    "kind": "arxiv",
    "version": 3
  }
}