Pith Number

pith:LYV6XWZK

pith:2024:LYV6XWZKIUCEN2UFXHFQOMCCLM

not attested not anchored not stored refs pending

The Lonely Runner Conjecture turns 60

Guillem Perarnau, Oriol Serra

arxiv:2409.20160 v3 · 2024-09-30 · math.CO · math.MG · 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{LYV6XWZKIUCEN2UFXHFQOMCCLM}

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.

Cited by

1 paper in Pith

Covering radii of $3$-zonotopes and the shifted Lonely Runner Conjecture

Receipt and verification

First computed	2026-07-05T11:52:15.038619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e2bebdb2a450446ea85b9cb0730425b3de26cdbee4fbf6a6556cd73274aa934

Aliases

arxiv: 2409.20160 · arxiv_version: 2409.20160v3 · doi: 10.48550/arxiv.2409.20160 · pith_short_12: LYV6XWZKIUCE · pith_short_16: LYV6XWZKIUCEN2UF · pith_short_8: LYV6XWZK

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/LYV6XWZKIUCEN2UFXHFQOMCCLM \
  | 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: 5e2bebdb2a450446ea85b9cb0730425b3de26cdbee4fbf6a6556cd73274aa934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbed4ba9d4297f7324bda062cd3c0b24ce2ecf245718c9f96acde753917c973",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-30T10:13:07Z",
    "title_canon_sha256": "185385cb8dd587e5b5e1f9a330f33de0c9b02a2f35c4028dccd71376bdf07f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.20160",
    "kind": "arxiv",
    "version": 3
  }
}