Pith Number

pith:KDYJM536

pith:2016:KDYJM5363FOXEG5BX2ODEATOHD

not attested not anchored not stored refs pending

Random walks and induced Dirichlet forms on self-similar sets

Ka-Sing Lau, Shi-Lei Kong, Ting-Kam Leonard Wong

arxiv:1604.05440 v2 · 2016-04-19 · 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{KDYJM5363FOXEG5BX2ODEATOHD}

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	2026-05-18T00:32:26.133719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f096777ed95d721ba1be9c32026e38cfa317477e60e4ed35ffecb8c9b71ac3

Aliases

arxiv: 1604.05440 · arxiv_version: 1604.05440v2 · doi: 10.48550/arxiv.1604.05440 · pith_short_12: KDYJM5363FOX · pith_short_16: KDYJM5363FOXEG5B · pith_short_8: KDYJM536

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/KDYJM5363FOXEG5BX2ODEATOHD \
  | 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: 50f096777ed95d721ba1be9c32026e38cfa317477e60e4ed35ffecb8c9b71ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abaa22940a9257127002e67583f5478d682ce33d923fb7554bdaff1cfb0bda1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-19T06:18:44Z",
    "title_canon_sha256": "45d24be17bdb9050a9168bbe09ac5b3216734a99237a17304526e846f8145cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05440",
    "kind": "arxiv",
    "version": 2
  }
}