Pith Number

pith:BOBCKLKQ

pith:2026:BOBCKLKQUMULME6VB6HM45F5BF

not attested not anchored not stored refs pending

Hit-and-Run Mixes as Fast as the Ball Walk

Ruizhe Zhang

arxiv:2608.13487 v1 · 2026-08-13 · cs.DS · 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{BOBCKLKQUMULME6VB6HM45F5BF}

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	2026-08-14T01:24:51.178327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b82252d50a328b613d50f8ece74bd095b6b358c56fba9e3f7775b8fc1a0d729

Aliases

arxiv: 2608.13487 · arxiv_version: 2608.13487v1 · doi: 10.48550/arxiv.2608.13487 · pith_short_12: BOBCKLKQUMUL · pith_short_16: BOBCKLKQUMULME6V · pith_short_8: BOBCKLKQ

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/BOBCKLKQUMULME6VB6HM45F5BF \
  | 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: 0b82252d50a328b613d50f8ece74bd095b6b358c56fba9e3f7775b8fc1a0d729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39234b6988d9d93c1d886e71ae61c33475662a5dff72b8fd5b6cfb37b8df1acf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-13T17:15:31Z",
    "title_canon_sha256": "ec3fcabba7fdc0c7b3051a1936cc238bef5b9472019140c5625e39911b63ba2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13487",
    "kind": "arxiv",
    "version": 1
  }
}