Pith Number

pith:RLAFEPUP

pith:2015:RLAFEPUPATN4AVI4ASNUD5VPHI

not attested not anchored not stored refs pending

Hypercubes are determined by their distance spectra

Jack. H. Koolen, Quaid Iqbal, Sakander Hayat

arxiv:1512.04160 v3 · 2015-12-14 · 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{RLAFEPUPATN4AVI4ASNUD5VPHI}

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	2026-05-18T01:16:06.770609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac0523e8f04dbc0551c049b41f6af3a099317c12e00c812f9dff91238def278

Aliases

arxiv: 1512.04160 · arxiv_version: 1512.04160v3 · doi: 10.48550/arxiv.1512.04160 · pith_short_12: RLAFEPUPATN4 · pith_short_16: RLAFEPUPATN4AVI4 · pith_short_8: RLAFEPUP

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/RLAFEPUPATN4AVI4ASNUD5VPHI \
  | 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: 8ac0523e8f04dbc0551c049b41f6af3a099317c12e00c812f9dff91238def278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f41b84b78e6e254124b9d61cb43635ce04da88ae44b22028ba1a86ffcca6dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-14T03:24:37Z",
    "title_canon_sha256": "d55ddb032cc2bc8549afb94c72c4d5c29b664e1ba145000c32a612d55500d366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04160",
    "kind": "arxiv",
    "version": 3
  }
}