Pith Number

pith:EAVOL2S5

pith:2007:EAVOL2S5QFT3EGDWHANOV724DD

not attested not anchored not stored refs pending

Random Walk on a Surface Group: Boundary Behavior of the Green's Function at the Spectral Radius

Steven P. Lalley

arxiv:0710.5745 v4 · 2007-10-30 · math.PR · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAVOL2S5QFT3EGDWHANOV724DD}

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	2026-05-18T04:16:31.095158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

202ae5ea5d8167b21876381aeaff5c18cedce641ed698eda97f67880fca0854d

Aliases

arxiv: 0710.5745 · arxiv_version: 0710.5745v4 · doi: 10.48550/arxiv.0710.5745 · pith_short_12: EAVOL2S5QFT3 · pith_short_16: EAVOL2S5QFT3EGDW · pith_short_8: EAVOL2S5

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/EAVOL2S5QFT3EGDWHANOV724DD \
  | 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: 202ae5ea5d8167b21876381aeaff5c18cedce641ed698eda97f67880fca0854d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125004ec7cc38b39f77d1c2179563fe64e77180da33292a8575ab630a05113bf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-30T19:43:57Z",
    "title_canon_sha256": "05a00db5dbdc2b43c7da7b10a4c57c325c96aa60d64cd7e865b9d0a7fbf01008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5745",
    "kind": "arxiv",
    "version": 4
  }
}