Pith Number

pith:TZZE66ZM

pith:2016:TZZE66ZMV4P3GZ2I7PY6SW7UJX

not attested not anchored not stored refs pending

Equivalent characterizations of the spectra of graphs and applications to measures of distance-regularity

J. F\`abrega, M.A. Fiol, V. Diego

arxiv:1608.00091 v1 · 2016-07-30 · 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{TZZE66ZMV4P3GZ2I7PY6SW7UJX}

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	2026-05-18T01:10:13.839309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e724f7b2caf1fb36748fbf1e95bf44dfb61967de1ccbbe5f48ffd47db616878

Aliases

arxiv: 1608.00091 · arxiv_version: 1608.00091v1 · doi: 10.48550/arxiv.1608.00091 · pith_short_12: TZZE66ZMV4P3 · pith_short_16: TZZE66ZMV4P3GZ2I · pith_short_8: TZZE66ZM

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/TZZE66ZMV4P3GZ2I7PY6SW7UJX \
  | 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: 9e724f7b2caf1fb36748fbf1e95bf44dfb61967de1ccbbe5f48ffd47db616878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161014c05404052c2cba0f380ec800791f6bfd12e639e490f977c0dbd02fe3a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-30T08:27:45Z",
    "title_canon_sha256": "8e1f5bad5372b9074745925ec622216fc8a004bc13b85e88bd96406cae83c960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00091",
    "kind": "arxiv",
    "version": 1
  }
}