Pith Number

pith:O6JD7FCZ

pith:2014:O6JD7FCZ4TQDVLSYT55WLOQHDM

not attested not anchored not stored refs pending

Distance-regular graphs where the distance-$d$ graph has fewer distinct eigenvalues

A. E. Brouwer, M. A. Fiol

arxiv:1409.0389 v1 · 2014-09-01 · 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{O6JD7FCZ4TQDVLSYT55WLOQHDM}

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	2026-05-18T02:43:52.849751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77923f9459e4e03aae589f7b65ba071b28117695211098f7f0b5551688991ad5

Aliases

arxiv: 1409.0389 · arxiv_version: 1409.0389v1 · doi: 10.48550/arxiv.1409.0389 · pith_short_12: O6JD7FCZ4TQD · pith_short_16: O6JD7FCZ4TQDVLSY · pith_short_8: O6JD7FCZ

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/O6JD7FCZ4TQDVLSYT55WLOQHDM \
  | 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: 77923f9459e4e03aae589f7b65ba071b28117695211098f7f0b5551688991ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a649f91898b5d30347c647c18a023cef9e8098cad4278a862fb8129958de7085",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-01T12:42:54Z",
    "title_canon_sha256": "3b536e470a43b78f0881d5010ec8813fe3ca8410d76d49cca38160e66037e18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0389",
    "kind": "arxiv",
    "version": 1
  }
}