Pith Number

pith:C3MO7BD7

pith:2015:C3MO7BD7PJJVV7C6L4WY53RRVQ

not attested not anchored not stored refs pending

Uniform Random Number Generation from Markov Chains: Non-Asymptotic and Asymptotic Analyses

Masahito Hayashi, Shun Watanabe

arxiv:1503.04371 v2 · 2015-03-15 · cs.IT · cs.CR · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3MO7BD7PJJVV7C6L4WY53RRVQ}

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	2026-05-18T01:03:53.239551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d8ef847f7a535afc5e5f2d8eee31ac09014afce448c3905be44ebb32a9e996

Aliases

arxiv: 1503.04371 · arxiv_version: 1503.04371v2 · doi: 10.48550/arxiv.1503.04371 · pith_short_12: C3MO7BD7PJJV · pith_short_16: C3MO7BD7PJJVV7C6 · pith_short_8: C3MO7BD7

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/C3MO7BD7PJJVV7C6L4WY53RRVQ \
  | 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: 16d8ef847f7a535afc5e5f2d8eee31ac09014afce448c3905be44ebb32a9e996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df2f0b214b531e97d5877f3c2bd443eff489690bc2594c714ee5bec00691e16",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-15T01:46:44Z",
    "title_canon_sha256": "20f18b7bdfc6a2445eacbafbdb0c7736efd6ea3ec79f03df7c14983862587b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04371",
    "kind": "arxiv",
    "version": 2
  }
}