Pith Number

pith:BNF6QURM

pith:2014:BNF6QURMPTALKL72UQCIUUV44A

not attested not anchored not stored refs pending

Sets with few distinct distances do not have heavy lines

Micha Sharir, Oliver Roche-Newton, Orit E. Raz

arxiv:1410.1654 v1 · 2014-10-07 · 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{BNF6QURMPTALKL72UQCIUUV44A}

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	2026-05-18T01:11:08.706027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4be8522c7cc0b52ffaa4048a52bce0304300b69ed6c0d07049aad681fe9866

Aliases

arxiv: 1410.1654 · arxiv_version: 1410.1654v1 · doi: 10.48550/arxiv.1410.1654 · pith_short_12: BNF6QURMPTAL · pith_short_16: BNF6QURMPTALKL72 · pith_short_8: BNF6QURM

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/BNF6QURMPTALKL72UQCIUUV44A \
  | 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: 0b4be8522c7cc0b52ffaa4048a52bce0304300b69ed6c0d07049aad681fe9866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce726dedfcf20a2293f5e77950be9611e472d57fa7f3b3084fb3e458294a0c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-07T09:46:21Z",
    "title_canon_sha256": "b2bdce5ce0aa7758d6ee50c88314e9599abb4c646b644b2318194ebc1e903767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1654",
    "kind": "arxiv",
    "version": 1
  }
}