Pith Number

pith:VOBCEI7V

pith:2005:VOBCEI7VU2637XYKHHYILWMBMR

not attested not anchored not stored refs pending

Damped random walks and the characteristic polynomial of the weighted Laplacian on a graph

Hariharan Narayanan, Madhav Desai

arxiv:math/0506460 v2 · 2005-06-22 · math.PR · 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{VOBCEI7VU2637XYKHHYILWMBMR}

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	2026-05-18T04:04:31.501831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab822223f5a6bdbfdf0a39f085d98164766fce0f7898e84ee02fc3b0be9c14c3

Aliases

arxiv: math/0506460 · arxiv_version: math/0506460v2 · doi: 10.48550/arxiv.math/0506460 · pith_short_12: VOBCEI7VU263 · pith_short_16: VOBCEI7VU2637XYK · pith_short_8: VOBCEI7V

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/VOBCEI7VU2637XYKHHYILWMBMR \
  | 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: ab822223f5a6bdbfdf0a39f085d98164766fce0f7898e84ee02fc3b0be9c14c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae12949804e9ea78f069ff9127552c36339d1a2b7776c9b6450cb9137a6e88fc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-06-22T18:53:57Z",
    "title_canon_sha256": "d1aae9a022508e16e2a98e172ec43237e965a2f366b9da2c5ed5fc0751e75dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506460",
    "kind": "arxiv",
    "version": 2
  }
}