Pith Number

pith:5Y4DIX6A

pith:2023:5Y4DIX6AZDCTL2SUU5ATPZP5WI

not attested not anchored not stored refs pending

Recurrence and transience of multidimensional elephant random walks

Shuo Qin

arxiv:2309.09795 v5 · 2023-09-18 · 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{5Y4DIX6AZDCTL2SUU5ATPZP5WI}

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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.

Cited by

1 paper in Pith

Elephant random walk with polynomially decaying steps

Receipt and verification

First computed	2026-07-05T11:10:44.343565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee38345fc0c8c535ea54a74137e5fdb206366d033e9fad31a8d3cadb78139896

Aliases

arxiv: 2309.09795 · arxiv_version: 2309.09795v5 · doi: 10.48550/arxiv.2309.09795 · pith_short_12: 5Y4DIX6AZDCT · pith_short_16: 5Y4DIX6AZDCTL2SU · pith_short_8: 5Y4DIX6A

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/5Y4DIX6AZDCTL2SUU5ATPZP5WI \
  | 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: ee38345fc0c8c535ea54a74137e5fdb206366d033e9fad31a8d3cadb78139896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47fff0d27292e818f255d8dd2689c9645c81c1444ae01134438fe14cd4b9cd4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-09-18T14:15:29Z",
    "title_canon_sha256": "110ab94f2d15a02fa20f5392d26d068ce81b247c68dacc35ec211b8ebd9b110a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09795",
    "kind": "arxiv",
    "version": 5
  }
}