Pith Number

pith:CZY5PEIJ

pith:2016:CZY5PEIJN25MW4S5FRQYTLQCUM

not attested not anchored not stored refs pending

On the Wiener index, distance cospectrality and transmission regular graphs

Aida Abiad, Aysel Erey, Boris Brimkov, Jason Williford, Lorinda Leshock, Suil O, Sung-Yell Song, Xavier Mart\'inez-Rivera

arxiv:1609.06911 v2 · 2016-09-22 · 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{CZY5PEIJN25MW4S5FRQYTLQCUM}

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	2026-05-18T00:35:46.701947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1671d791096ebacb725d2c6189ae02a327a23155be5683479f2fd863829d7f87

Aliases

arxiv: 1609.06911 · arxiv_version: 1609.06911v2 · doi: 10.48550/arxiv.1609.06911 · pith_short_12: CZY5PEIJN25M · pith_short_16: CZY5PEIJN25MW4S5 · pith_short_8: CZY5PEIJ

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/CZY5PEIJN25MW4S5FRQYTLQCUM \
  | 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: 1671d791096ebacb725d2c6189ae02a327a23155be5683479f2fd863829d7f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23a194d402e4b1d248abd3f8303cef77bb779032bb63c1dcd290b5825f6fa35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-22T10:59:55Z",
    "title_canon_sha256": "1110a521396c8ec2176cb139194a69199d8c7ed3399f7851f6d00177540ab4cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06911",
    "kind": "arxiv",
    "version": 2
  }
}