Pith Number

pith:JCZ4C2HN

pith:2015:JCZ4C2HN4LRETQ4Y3Q23TU4OKD

not attested not anchored not stored refs pending

Two-faced processes and random number generators

Boris Ryabko

arxiv:1512.06961 v1 · 2015-12-22 · cs.IT · cs.CR · math.IT · 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{JCZ4C2HN4LRETQ4Y3Q23TU4OKD}

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	2026-05-18T01:23:53.309275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b3c168ede2e249c398dc35b9d38e50fa6e0ff499a8304fa1049350246f053c

Aliases

arxiv: 1512.06961 · arxiv_version: 1512.06961v1 · doi: 10.48550/arxiv.1512.06961 · pith_short_12: JCZ4C2HN4LRE · pith_short_16: JCZ4C2HN4LRETQ4Y · pith_short_8: JCZ4C2HN

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/JCZ4C2HN4LRETQ4Y3Q23TU4OKD \
  | 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: 48b3c168ede2e249c398dc35b9d38e50fa6e0ff499a8304fa1049350246f053c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7825b942f611ccefca1ff9b4deb514cd2888de4864629473f7ee2c806e137155",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-22T05:51:28Z",
    "title_canon_sha256": "dd8b73a78ab10704ec9009b9d6c9ed3ba488d86f534c65f492c99047091b0de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06961",
    "kind": "arxiv",
    "version": 1
  }
}