Pith Number

pith:V34S4JOL

pith:2016:V34S4JOLTDWEKMW7CEBM3ZADOP

not attested not anchored not stored refs pending

Lonely Runner Polyhedra

Matthias Beck, Matthias Schymura, Serkan Hosten

arxiv:1606.01783 v4 · 2016-06-06 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V34S4JOLTDWEKMW7CEBM3ZADOP}

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	2026-07-05T00:28:42.791588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef92e25cb98ec4532df1102cde40373c7a69e56c02d2da441b7c94b54f37571

Aliases

arxiv: 1606.01783 · arxiv_version: 1606.01783v4 · doi: 10.48550/arxiv.1606.01783 · pith_short_12: V34S4JOLTDWE · pith_short_16: V34S4JOLTDWEKMW7 · pith_short_8: V34S4JOL

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/V34S4JOLTDWEKMW7CEBM3ZADOP \
  | 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: aef92e25cb98ec4532df1102cde40373c7a69e56c02d2da441b7c94b54f37571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0dc0d2411b5d2ac2cd7feccd94e34a0e8b460b81122b8c4ee2f0465eb0f6019",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-06T15:16:12Z",
    "title_canon_sha256": "dc2deaf5b9dd772189dacd4c1f4345f0353f79a339e5a6bbcab4266ec5e7c848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01783",
    "kind": "arxiv",
    "version": 4
  }
}