Pith Number

pith:WRGN4CMI

pith:2015:WRGN4CMILCOERQ336YKNLMHDXP

not attested not anchored not stored refs pending

Anomalous recurrence properties of many-dimensional zero-drift random walks

Aleksandar Mijatovi\'c, Andrew R. Wade, Mikhail V. Menshikov, Nicholas Georgiou

arxiv:1506.08541 v1 · 2015-06-29 · 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{WRGN4CMILCOERQ336YKNLMHDXP}

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	2026-05-18T00:53:21.107484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44cde0988589c48c37bf614d5b0e3bbe113d4c6f432f878ab7545d806f2e04d

Aliases

arxiv: 1506.08541 · arxiv_version: 1506.08541v1 · doi: 10.48550/arxiv.1506.08541 · pith_short_12: WRGN4CMILCOE · pith_short_16: WRGN4CMILCOERQ33 · pith_short_8: WRGN4CMI

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/WRGN4CMILCOERQ336YKNLMHDXP \
  | 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: b44cde0988589c48c37bf614d5b0e3bbe113d4c6f432f878ab7545d806f2e04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26ed38c17e0461c9a448d99a74f6888c3d232deda8c5ba60e7bc8c09d1b3431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-29T08:35:16Z",
    "title_canon_sha256": "ab602825b715f3e20a5c48170e66b4abdf305e56cd8e0ba97aa18d0aaa62285a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08541",
    "kind": "arxiv",
    "version": 1
  }
}