Pith Number

pith:VPXHM7SW

pith:2017:VPXHM7SWXJDCSG3XUYWG5XWOKY

not attested not anchored not stored refs pending

Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations

Kouji Yano, Toru Sera

arxiv:1711.03260 v3 · 2017-11-09 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPXHM7SWXJDCSG3XUYWG5XWOKY}

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	2026-05-18T00:00:35.393388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abee767e56ba46291b77a62c6edece563bf9ad679aef52c5c61ac2e1ea09d3c3

Aliases

arxiv: 1711.03260 · arxiv_version: 1711.03260v3 · doi: 10.48550/arxiv.1711.03260 · pith_short_12: VPXHM7SWXJDC · pith_short_16: VPXHM7SWXJDCSG3X · pith_short_8: VPXHM7SW

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/VPXHM7SWXJDCSG3XUYWG5XWOKY \
  | 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: abee767e56ba46291b77a62c6edece563bf9ad679aef52c5c61ac2e1ea09d3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f99aa5aa8a3f86685744659e56cf9e1a07310c2b8c9f8c3fe7c917ae4049cba",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-09T05:39:09Z",
    "title_canon_sha256": "501e126c34589a4365466adc152ee82a634674cfe7d00dd5d98118ef5bd6cb7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03260",
    "kind": "arxiv",
    "version": 3
  }
}