Pith Number

pith:XBK3TWEA

pith:2016:XBK3TWEAH7HO6X6EGQ5AC3MNO6

not attested not anchored not stored refs pending

Heavy-tailed random walks on complexes of half-lines

Andrew R. Wade, Dimitri Petritis, Mikhail V. Menshikov

arxiv:1610.00881 v1 · 2016-10-04 · 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{XBK3TWEAH7HO6X6EGQ5AC3MNO6}

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	2026-05-18T00:08:23.953301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b855b9d8803fceef5fc4343a016d8d7796cd217dc0a50653311902803ce495a0

Aliases

arxiv: 1610.00881 · arxiv_version: 1610.00881v1 · doi: 10.48550/arxiv.1610.00881 · pith_short_12: XBK3TWEAH7HO · pith_short_16: XBK3TWEAH7HO6X6E · pith_short_8: XBK3TWEA

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/XBK3TWEAH7HO6X6EGQ5AC3MNO6 \
  | 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: b855b9d8803fceef5fc4343a016d8d7796cd217dc0a50653311902803ce495a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73856331133004c0f4b49587dcdcf5ca300d78296f50767a298d6e3fcbab3649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-04T07:46:01Z",
    "title_canon_sha256": "fe07587b5d4bffdc086319c74bd7a084129c79e82025e6b4db3199519070e7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00881",
    "kind": "arxiv",
    "version": 1
  }
}