Pith Number

pith:D7XR6JDW

pith:1998:D7XR6JDWR5GGQURYW4THOW2CR2

not attested not anchored not stored refs pending

An embedding for the Kesten-Spitzer random walk in random scenery

Endre Cs\'aki, Wolfgang K\"onig (Fields Institute/Techniche Universit\"at Berlin), Zhan Shi

arxiv:math/9812165 v1 · 1998-12-31 · 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{D7XR6JDWR5GGQURYW4THOW2CR2}

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	2026-05-18T01:05:33.440220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fef1f24768f4c685238b726775b428ea411b8439830af350d4eb2244800e846

Aliases

arxiv: math/9812165 · arxiv_version: math/9812165v1 · doi: 10.48550/arxiv.math/9812165 · pith_short_12: D7XR6JDWR5GG · pith_short_16: D7XR6JDWR5GGQURY · pith_short_8: D7XR6JDW

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/D7XR6JDWR5GGQURYW4THOW2CR2 \
  | 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: 1fef1f24768f4c685238b726775b428ea411b8439830af350d4eb2244800e846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0881f98656aaf1e25a9c8ae87b6a6402e27447d2be6b905061f80cb14c3058b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-12-31T00:00:00Z",
    "title_canon_sha256": "ad72b0b13344fc2f949877814a01e74753aa5f6199291fa332c4ff20d6dbf870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812165",
    "kind": "arxiv",
    "version": 1
  }
}