Pith Number

pith:ZZDXSSOG

pith:2019:ZZDXSSOG27JXDL2HM3BCTRLAKD

not attested not anchored not stored refs pending

On the Graph Laplacian and the Rankability of Data

Amy N. Langville, Heather C. Smith, Thomas R. Cameron

arxiv:1912.00275 v1 · 2019-11-30 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZDXSSOG27JXDL2HM3BCTRLAKD}

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	2026-07-05T00:23:11.565013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce477949c6d7d371af4766c229c56050fea56e963727efe8d9b6270d58e1b184

Aliases

arxiv: 1912.00275 · arxiv_version: 1912.00275v1 · doi: 10.48550/arxiv.1912.00275 · pith_short_12: ZZDXSSOG27JX · pith_short_16: ZZDXSSOG27JXDL2H · pith_short_8: ZZDXSSOG

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/ZZDXSSOG27JXDL2HM3BCTRLAKD \
  | 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: ce477949c6d7d371af4766c229c56050fea56e963727efe8d9b6270d58e1b184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc77c192466e8e1afa81a3dabee4c662b0902280fd3cc6294d26a4ff66ba548",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-30T22:33:08Z",
    "title_canon_sha256": "e275dda10caa337bdba59339520d3ea50cdee890e371f28c4fa400ab882793b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00275",
    "kind": "arxiv",
    "version": 1
  }
}