Pith Number

pith:KQGNSWWB

pith:2013:KQGNSWWBI73MZG2FP7OST6XFJB

not attested not anchored not stored refs pending

Modularity spectra, eigen-subspaces, and structure of weighted graphs

Marianna Bolla

arxiv:1301.5254 v1 · 2013-01-22 · math.ST · math.SP · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQGNSWWBI73MZG2FP7OST6XFJB}

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	2026-05-18T03:35:52.484838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540cd95ac147f6cc9b457fdd29fae5486b32c320189b3fede713eaa04d25a65d

Aliases

arxiv: 1301.5254 · arxiv_version: 1301.5254v1 · doi: 10.48550/arxiv.1301.5254 · pith_short_12: KQGNSWWBI73M · pith_short_16: KQGNSWWBI73MZG2F · pith_short_8: KQGNSWWB

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/KQGNSWWBI73MZG2FP7OST6XFJB \
  | 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: 540cd95ac147f6cc9b457fdd29fae5486b32c320189b3fede713eaa04d25a65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559ebe010c1c9059212f20f956b0a0fedcaafacfdb2c864aebed73e5e0f0402d",
    "cross_cats_sorted": [
      "math.SP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-01-22T17:42:51Z",
    "title_canon_sha256": "e52380e24b02a1cb916ec82871256d32b9ed05213a55483516051fc2bc5ab6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5254",
    "kind": "arxiv",
    "version": 1
  }
}