Pith Number

pith:7JHOOMV4

pith:2015:7JHOOMV47YY3W7X7PSSSMKYXBA

not attested not anchored not stored refs pending

Random Walks and Evolving Sets: Faster Convergences and Limitations

Lap Chi Lau, Siu On Chan, Tsz Chiu Kwok

arxiv:1507.02069 v1 · 2015-07-08 · cs.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{7JHOOMV47YY3W7X7PSSSMKYXBA}

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	2026-05-18T01:37:08.670810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4ee732bcfe31bb7eff7ca5262b170802f335062e682cbceb95d6b469a3602b

Aliases

arxiv: 1507.02069 · arxiv_version: 1507.02069v1 · doi: 10.48550/arxiv.1507.02069 · pith_short_12: 7JHOOMV47YY3 · pith_short_16: 7JHOOMV47YY3W7X7 · pith_short_8: 7JHOOMV4

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/7JHOOMV47YY3W7X7PSSSMKYXBA \
  | 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: fa4ee732bcfe31bb7eff7ca5262b170802f335062e682cbceb95d6b469a3602b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0f8fb912aab37b7e9725f6570a435bd6110162c4b10e1c59ad82fe6babf96c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-07-08T08:41:05Z",
    "title_canon_sha256": "7454eae87b9b456aa28b0a8838ac5da6d9a001d19b37a067ef0bf9dd7d6436f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02069",
    "kind": "arxiv",
    "version": 1
  }
}