Pith Number

pith:OOHQOJ5M

pith:2019:OOHQOJ5MMOXOBQYTMV4IPTBMG2

not attested not anchored not stored refs pending

On spectral spread of generalized distance matrix of a graph

A. Alhevaz, Hilal A. Ganie, M. Baghipur, S. Pirzada

arxiv:1907.09462 v1 · 2019-07-22 · 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{OOHQOJ5MMOXOBQYTMV4IPTBMG2}

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	2026-05-17T23:39:59.166386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738f0727ac63aee0c313657887cc2c36a50beb4dcb101dc987f5c202a3944615

Aliases

arxiv: 1907.09462 · arxiv_version: 1907.09462v1 · doi: 10.48550/arxiv.1907.09462 · pith_short_12: OOHQOJ5MMOXO · pith_short_16: OOHQOJ5MMOXOBQYT · pith_short_8: OOHQOJ5M

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/OOHQOJ5MMOXOBQYTMV4IPTBMG2 \
  | 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: 738f0727ac63aee0c313657887cc2c36a50beb4dcb101dc987f5c202a3944615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329d0863aef03575e503011eb6af493d0568ee6596b27cdfde92cfe346ca5b69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-22T17:55:42Z",
    "title_canon_sha256": "4681a2311378316f55b74a52ba2d9e2f3b8eabf896301115345a5e78bdbdd961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09462",
    "kind": "arxiv",
    "version": 1
  }
}