Pith Number

pith:G5L3KYNH

pith:2014:G5L3KYNHEMLAZY6PTQ7O6PPNB4

not attested not anchored not stored refs pending

The smallest line arrangement which is free but not recursively free

Hiraku Kawanoue, Takeshi Nozawa, Takuro Abe

arxiv:1406.5820 v3 · 2014-06-23 · 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{G5L3KYNHEMLAZY6PTQ7O6PPNB4}

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	2026-05-18T02:48:35.551769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3757b561a723160ce3cf9c3eef3ded0f227e9be37eb7f524f86226eaae16f01b

Aliases

arxiv: 1406.5820 · arxiv_version: 1406.5820v3 · doi: 10.48550/arxiv.1406.5820 · pith_short_12: G5L3KYNHEMLA · pith_short_16: G5L3KYNHEMLAZY6P · pith_short_8: G5L3KYNH

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/G5L3KYNHEMLAZY6PTQ7O6PPNB4 \
  | 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: 3757b561a723160ce3cf9c3eef3ded0f227e9be37eb7f524f86226eaae16f01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9e15868dabfd47f084bc5b33bbb643b3093dbd2b82eec08addaf9d963debd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-23T07:24:34Z",
    "title_canon_sha256": "bf6ac8a9eb556687ee71480a41cee91a7274de4d8e526356113fd94dec93befe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5820",
    "kind": "arxiv",
    "version": 3
  }
}