Pith Number

pith:M47HI5ZJ

pith:2017:M47HI5ZJVZJOBR37S2EE4QFWMC

not attested not anchored not stored refs pending

Some remarks on the lonely runner conjecture

Terence Tao

arxiv:1701.02048 v4 · 2017-01-09 · 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{M47HI5ZJVZJOBR37S2EE4QFWMC}

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

Non-colliding billiards in the plane

Receipt and verification

First computed	2026-05-18T00:31:31.434063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673e747729ae52e0c77f96884e40b6608761e29c4c40a0b4e7807959f841ed5d

Aliases

arxiv: 1701.02048 · arxiv_version: 1701.02048v4 · doi: 10.48550/arxiv.1701.02048 · pith_short_12: M47HI5ZJVZJO · pith_short_16: M47HI5ZJVZJOBR37 · pith_short_8: M47HI5ZJ

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/M47HI5ZJVZJOBR37S2EE4QFWMC \
  | 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: 673e747729ae52e0c77f96884e40b6608761e29c4c40a0b4e7807959f841ed5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875f18406e77b549064952567ac9f95a6294633cfeeff83d74e22aa35e87354c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-09T01:29:03Z",
    "title_canon_sha256": "dd5736dce1be6215fa63bdaf895c595714c086ba07a7ff046b1dde75e47d26ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02048",
    "kind": "arxiv",
    "version": 4
  }
}