Pith Number

pith:LTLTGUW7

pith:2015:LTLTGUW72QEIL275EMJEKMTXPH

not attested not anchored not stored refs pending

Moments of the inverse participation ratio for the Laplacian on finite regular graphs

Adrian Del Maestro, Timothy B. P. Clark

arxiv:1506.02048 v2 · 2015-06-05 · math-ph · cond-mat.dis-nn · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTLTGUW72QEIL275EMJEKMTXPH}

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	2026-05-18T00:00:41.663542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd73352dfd40885ebfd231245327779d972e7ebea971bc83c5d81462c22adaf

Aliases

arxiv: 1506.02048 · arxiv_version: 1506.02048v2 · doi: 10.48550/arxiv.1506.02048 · pith_short_12: LTLTGUW72QEI · pith_short_16: LTLTGUW72QEIL275 · pith_short_8: LTLTGUW7

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/LTLTGUW72QEIL275EMJEKMTXPH \
  | 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: 5cd73352dfd40885ebfd231245327779d972e7ebea971bc83c5d81462c22adaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf4a5c959fc895c4895881e21a4f2319f8d1be35ba8c7bb779c571e50be30d5",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-05T20:04:27Z",
    "title_canon_sha256": "04bc40d19224914a32c4b672e957dd881e75a603c2c948ce9094fcc5350bd167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02048",
    "kind": "arxiv",
    "version": 2
  }
}