Pith Number

pith:PKAR6THW

pith:2018:PKAR6THWY47HVT53JQXWQ7JIUM

not attested not anchored not stored refs pending

On subsets of the hypercube with prescribed Hamming distances

Cosmin Pohoata, Hao Huang, Oleksiy Klurman

arxiv:1812.05989 v1 · 2018-12-14 · 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{PKAR6THWY47HVT53JQXWQ7JIUM}

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

Triangle-free subsets of the $r$-distance graph of the Hypercube

Receipt and verification

First computed	2026-05-17T23:58:15.831814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a811f4cf6c73e7acfbb4c2f687d28a30555c78a7411790742a3023198dac582

Aliases

arxiv: 1812.05989 · arxiv_version: 1812.05989v1 · doi: 10.48550/arxiv.1812.05989 · pith_short_12: PKAR6THWY47H · pith_short_16: PKAR6THWY47HVT53 · pith_short_8: PKAR6THW

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/PKAR6THWY47HVT53JQXWQ7JIUM \
  | 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: 7a811f4cf6c73e7acfbb4c2f687d28a30555c78a7411790742a3023198dac582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a03352390082d34f490ae0c82b4d18b9bd793d143789809f93a0a0a5395c1f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-14T15:44:13Z",
    "title_canon_sha256": "cbb76baa9b57370f85ca99dd5e68c5c40aa4682b7e1e8bc18414660c9807c3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05989",
    "kind": "arxiv",
    "version": 1
  }
}