Pith Number

pith:AKKGYG4Y

pith:2023:AKKGYG4YQKSD5D33K7CBRR3IZE

not attested not anchored not stored refs pending

Divisibility and primality in random walks

Michel J. G. Weber

arxiv:2310.14828 v2 · 2023-10-23 · 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{AKKGYG4YQKSD5D33K7CBRR3IZE}

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	2026-05-22T01:03:13.614207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02946c1b9882a43e8f7b57c418c768c919c6914f7e57964ace1f80162933507c

Aliases

arxiv: 2310.14828 · arxiv_version: 2310.14828v2 · doi: 10.48550/arxiv.2310.14828 · pith_short_12: AKKGYG4YQKSD · pith_short_16: AKKGYG4YQKSD5D33 · pith_short_8: AKKGYG4Y

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/AKKGYG4YQKSD5D33K7CBRR3IZE \
  | 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: 02946c1b9882a43e8f7b57c418c768c919c6914f7e57964ace1f80162933507c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b87b4067dd2760ac257780c9912c7fd35b21bba7656ad91e30533e7f740302",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-23T11:48:22Z",
    "title_canon_sha256": "1fd015bcc4199e488ea466c22b152e507d6b1bbc708244ed8d75a0e57e83642c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14828",
    "kind": "arxiv",
    "version": 2
  }
}