Pith Number

pith:ZEFGCZGE

pith:2008:ZEFGCZGELBQAZKDYEKIGVW7BXW

not attested not anchored not stored refs pending

Recurrence and transience for long-range reversible random walks on a random point process

A. Faggionato, A. Gaudilliere, P. Caputo

arxiv:0811.4623 v1 · 2008-11-27 · math.PR · math-ph · 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{ZEFGCZGELBQAZKDYEKIGVW7BXW}

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	2026-05-18T01:25:56.106633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c90a6164c458600ca87822906adbe1bd83ebc48a9ab88736b88c6bab036161ab

Aliases

arxiv: 0811.4623 · arxiv_version: 0811.4623v1 · doi: 10.48550/arxiv.0811.4623 · pith_short_12: ZEFGCZGELBQA · pith_short_16: ZEFGCZGELBQAZKDY · pith_short_8: ZEFGCZGE

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/ZEFGCZGELBQAZKDYEKIGVW7BXW \
  | 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: c90a6164c458600ca87822906adbe1bd83ebc48a9ab88736b88c6bab036161ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5806e82c8ba228e1c4ba4be2ace945349556150745757bf1d88a153e0e6b4a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-11-27T22:01:25Z",
    "title_canon_sha256": "133382eedfbfd25f54c58cc2e1372e29a2c8b4e8cbace50b3eee562d728c56c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4623",
    "kind": "arxiv",
    "version": 1
  }
}