Pith Number

pith:QNWXUMSR

pith:2016:QNWXUMSR63D7ZHUONFSAT2CTBH

not attested not anchored not stored refs pending

On the spectral distributions of distance-k graph of free product graphs

Octavio Arizmendi, Tulio Gaxiola

arxiv:1601.04752 v1 · 2016-01-18 · math.CO · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNWXUMSR63D7ZHUONFSAT2CTBH}

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	2026-05-18T01:22:31.887708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836d7a3251f6c7fc9e8e696409e85309e1865d655fd63200b3fb445b85f658a1

Aliases

arxiv: 1601.04752 · arxiv_version: 1601.04752v1 · doi: 10.48550/arxiv.1601.04752 · pith_short_12: QNWXUMSR63D7 · pith_short_16: QNWXUMSR63D7ZHUO · pith_short_8: QNWXUMSR

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/QNWXUMSR63D7ZHUONFSAT2CTBH \
  | 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: 836d7a3251f6c7fc9e8e696409e85309e1865d655fd63200b3fb445b85f658a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9144459b2d5dbee1ddd381972feacb031d0629bfc3c63de76f44ae904f9db1dd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-18T23:02:30Z",
    "title_canon_sha256": "312e914b61e2d8bd692a37f2e25e5ea1998b1b3f2868b92575e0e5f3cfafc1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04752",
    "kind": "arxiv",
    "version": 1
  }
}