Pith Number

pith:6T2XYILC

pith:2014:6T2XYILCH7VVQYW26ILPX6ZSWD

not attested not anchored not stored refs pending

Recurrence of the Brownian motion in multidimensional semi-selfsimilar environments and Gaussian environments

Hiroshi Takahashi, Seiichiro Kusuoka, Yozo Tamura

arxiv:1412.0360 v2 · 2014-12-01 · 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{6T2XYILCH7VVQYW26ILPX6ZSWD}

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	2026-05-18T01:37:01.956663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f57c21623feb5862daf216fbfb32b0ee76e78e8622fefedb77eb33923a0dcc

Aliases

arxiv: 1412.0360 · arxiv_version: 1412.0360v2 · doi: 10.48550/arxiv.1412.0360 · pith_short_12: 6T2XYILCH7VV · pith_short_16: 6T2XYILCH7VVQYW2 · pith_short_8: 6T2XYILC

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/6T2XYILCH7VVQYW26ILPX6ZSWD \
  | 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: f4f57c21623feb5862daf216fbfb32b0ee76e78e8622fefedb77eb33923a0dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97163a64562c1f5b7dbff994f47d3181cfd9d69d3afad75c59153caf2a51caf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-01T06:23:52Z",
    "title_canon_sha256": "f2e13422112ea0b020edc5db41ac3b9f67b14e28f23f369422f9459fd995b2c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0360",
    "kind": "arxiv",
    "version": 2
  }
}