Pith Number

pith:WA67CZFA

pith:2017:WA67CZFARZMVJG5IKSAGSPICPA

not attested not anchored not stored refs pending

Laplacian Spectra of Regular Graph Transformations

Aiping Deng, Alexander Kelmans, Juan Meng

arxiv:1705.05011 v1 · 2017-05-14 · 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{WA67CZFARZMVJG5IKSAGSPICPA}

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	2026-05-18T00:44:33.055349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03df164a08e59549ba85480693d02780be50bf0d18fb37cf99166fa0aef36cd

Aliases

arxiv: 1705.05011 · arxiv_version: 1705.05011v1 · doi: 10.48550/arxiv.1705.05011 · pith_short_12: WA67CZFARZMV · pith_short_16: WA67CZFARZMVJG5I · pith_short_8: WA67CZFA

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/WA67CZFARZMVJG5IKSAGSPICPA \
  | 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: b03df164a08e59549ba85480693d02780be50bf0d18fb37cf99166fa0aef36cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8c25a89f568ccf4df3dfc86c0f14cc3635bfdcab5b2e9c31648f8dd1229ee0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-14T18:02:56Z",
    "title_canon_sha256": "0cefb4df5a199e9e9dc7ea0c840da7f512a4c22037852b7203c4f8609aa73078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05011",
    "kind": "arxiv",
    "version": 1
  }
}