Pith Number

pith:JUWDES5L

pith:2014:JUWDES5LDX474TQALBTVJ7IWYZ

not attested not anchored not stored refs pending

The Laplacian spectral excess theorem for distance-regular graphs

Edwin R. van Dam, Miquel Angel Fiol

arxiv:1405.0169 v2 · 2014-05-01 · 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{JUWDES5LDX474TQALBTVJ7IWYZ}

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	2026-05-18T02:46:32.538275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d2c324bab1df9fe4e00586754fd16c64cdc5a05cdbb3599044becce5a34afbd

Aliases

arxiv: 1405.0169 · arxiv_version: 1405.0169v2 · doi: 10.48550/arxiv.1405.0169 · pith_short_12: JUWDES5LDX47 · pith_short_16: JUWDES5LDX474TQA · pith_short_8: JUWDES5L

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/JUWDES5LDX474TQALBTVJ7IWYZ \
  | 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: 4d2c324bab1df9fe4e00586754fd16c64cdc5a05cdbb3599044becce5a34afbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6ace9954e4abc46baf62adcf96f1ced90a807c929e1ed1abcf2bff56f3f36c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-01T14:27:44Z",
    "title_canon_sha256": "2ef441b507ad8f36133547d7d9dc12a55eff0b712d3552b83f66f7f00cee6328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0169",
    "kind": "arxiv",
    "version": 2
  }
}