Pith Number

pith:IUD2E7P5

pith:2014:IUD2E7P5IL5N2GBS7RM3JEGBZY

not attested not anchored not stored refs pending

Better bounds for planar sets avoiding unit distances

Fernando M\'ario de Oliveira Filho, Imre Z. Ruzsa, M\'at\'e Matolcsi, Tam\'as Keleti

arxiv:1501.00168 v2 · 2014-12-31 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUD2E7P5IL5N2GBS7RM3JEGBZY}

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	2026-05-18T00:21:43.843124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4507a27dfd42fadd1832fc59b490c1ce20fdb5bb7f80d42c64c3f223e19cc1f5

Aliases

arxiv: 1501.00168 · arxiv_version: 1501.00168v2 · doi: 10.48550/arxiv.1501.00168 · pith_short_12: IUD2E7P5IL5N · pith_short_16: IUD2E7P5IL5N2GBS · pith_short_8: IUD2E7P5

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/IUD2E7P5IL5N2GBS7RM3JEGBZY \
  | 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: 4507a27dfd42fadd1832fc59b490c1ce20fdb5bb7f80d42c64c3f223e19cc1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4125e99292fa3afc468b9b32c650b8e773d2c3e5afca7d9902c539f2ac2f9ec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-31T16:34:34Z",
    "title_canon_sha256": "b8833e019da05160d4e62f951706cff1f5ae5c567b6124521583e97ab5511730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00168",
    "kind": "arxiv",
    "version": 2
  }
}