Pith Number

pith:KQIYGO4E

pith:2018:KQIYGO4EYMU7KO3VYXQQMQMDIM

not attested not anchored not stored refs pending

Random walks and induced Dirichlet forms on compact spaces of homogeneous type

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

arxiv:1804.02646 v1 · 2018-04-08 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQIYGO4EYMU7KO3VYXQQMQMDIM}

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	2026-05-18T00:18:58.844150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5411833b84c329f53b75c5e1064183430d00db6c86975b37969d84181030449e

Aliases

arxiv: 1804.02646 · arxiv_version: 1804.02646v1 · doi: 10.48550/arxiv.1804.02646 · pith_short_12: KQIYGO4EYMU7 · pith_short_16: KQIYGO4EYMU7KO3V · pith_short_8: KQIYGO4E

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/KQIYGO4EYMU7KO3VYXQQMQMDIM \
  | 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: 5411833b84c329f53b75c5e1064183430d00db6c86975b37969d84181030449e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f645298e66aa0c2d5d60504e5fb16a6fb2ea5785bb782a99446a310f5b3865fd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-08T08:10:46Z",
    "title_canon_sha256": "ead29aee36c3ee7dab60a1a87353a923f03d0db31e0ad065f28de949a52bef3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02646",
    "kind": "arxiv",
    "version": 1
  }
}