Pith Number

pith:WWLM6MIR

pith:2023:WWLM6MIRVPTPG5EJMN7J7TAZVZ

not attested not anchored not stored refs pending

Large dilates of hypercube graphs in the plane

Bruno Predojevi\'c, Vjekoslav Kova\v{c}

arxiv:2309.14791 v2 · 2023-09-26 · math.CA · 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{WWLM6MIRVPTPG5EJMN7J7TAZVZ}

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	2026-07-05T09:28:09.458122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b596cf3111abe6f37489637e9fcc19ae74e5669be0b72a605fd0bed53a3227c1

Aliases

arxiv: 2309.14791 · arxiv_version: 2309.14791v2 · doi: 10.48550/arxiv.2309.14791 · pith_short_12: WWLM6MIRVPTP · pith_short_16: WWLM6MIRVPTPG5EJ · pith_short_8: WWLM6MIR

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/WWLM6MIRVPTPG5EJMN7J7TAZVZ \
  | 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: b596cf3111abe6f37489637e9fcc19ae74e5669be0b72a605fd0bed53a3227c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17bff456b433e29be72d1a9729624e5417125e8a495361e46934795f0ac073c2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-09-26T09:39:52Z",
    "title_canon_sha256": "64335daeb032536bc6451732220d190e156051134502063692b851044ad3045c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.14791",
    "kind": "arxiv",
    "version": 2
  }
}