Pith Number

pith:YHDFFIHM

pith:2008:YHDFFIHMCVYTNDBCHHKMM2KEUM

not attested not anchored not stored refs pending

On the Eigenspaces of Lamplighter Random Walks and Percolation Clusters on Graphs

Franz Lehner

arxiv:0805.0867 v2 · 2008-05-07 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHDFFIHMCVYTNDBCHHKMM2KEUM}

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	2026-05-18T03:39:14.920089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c652a0ec1571368c2239d4c66944a334dff008e9cfa7fbe2e4ddb568d4b471

Aliases

arxiv: 0805.0867 · arxiv_version: 0805.0867v2 · doi: 10.48550/arxiv.0805.0867 · pith_short_12: YHDFFIHMCVYT · pith_short_16: YHDFFIHMCVYTNDBC · pith_short_8: YHDFFIHM

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/YHDFFIHMCVYTNDBCHHKMM2KEUM \
  | 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: c1c652a0ec1571368c2239d4c66944a334dff008e9cfa7fbe2e4ddb568d4b471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8eb832d057b840819ca436dcf88bea2b8fb5f41c7cc673eeaf9651c8c8100ed",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-05-07T08:58:55Z",
    "title_canon_sha256": "5115284388eb50dc17cef1df111d91f4429920d4f7298292a2232fe0e4e21e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0867",
    "kind": "arxiv",
    "version": 2
  }
}