Pith Number

pith:DKKP3JO6

pith:2016:DKKP3JO6QTAI7IPBT2NXKAWK3T

not attested not anchored not stored refs pending

On side lengths of corners in positive density subsets of the Euclidean space

Luka Rimani\'c, Polona Durcik, Vjekoslav Kova\v{c}

arxiv:1609.09056 v2 · 2016-09-28 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKKP3JO6QTAI7IPBT2NXKAWK3T}

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	2026-05-17T23:55:01.391139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a94fda5de84c08fa1e19e9b7502cadceff65c0b427e2fda475af54c465a33ff

Aliases

arxiv: 1609.09056 · arxiv_version: 1609.09056v2 · doi: 10.48550/arxiv.1609.09056 · pith_short_12: DKKP3JO6QTAI · pith_short_16: DKKP3JO6QTAI7IPB · pith_short_8: DKKP3JO6

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/DKKP3JO6QTAI7IPBT2NXKAWK3T \
  | 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: 1a94fda5de84c08fa1e19e9b7502cadceff65c0b427e2fda475af54c465a33ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e279be3725489bdfaa2227960bf256c7d02d61fb4099d9b947674f9e726d1596",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-28T19:57:05Z",
    "title_canon_sha256": "a17c350e5c65b4f1e7906fc2a896a1549b901fd381da6b5e6e0da036b6de7d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09056",
    "kind": "arxiv",
    "version": 2
  }
}