Pith Number

pith:4ANSUBJG

pith:2010:4ANSUBJGFND3QXDL6LQ6RGP7ZS

not attested not anchored not stored refs pending

Efficient Generation of Random Bits from Finite State Markov Chains

Hongchao Zhou, Jehoshua Bruck

arxiv:1012.5339 v1 · 2010-12-24 · cs.IT · 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{4ANSUBJGFND3QXDL6LQ6RGP7ZS}

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	2026-05-18T04:32:35.071700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01b2a05262b47b85c6bf2e1e899ffcca25b338c2482a09bd268ac8299444daa

Aliases

arxiv: 1012.5339 · arxiv_version: 1012.5339v1 · doi: 10.48550/arxiv.1012.5339 · pith_short_12: 4ANSUBJGFND3 · pith_short_16: 4ANSUBJGFND3QXDL · pith_short_8: 4ANSUBJG

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/4ANSUBJGFND3QXDL6LQ6RGP7ZS \
  | 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: e01b2a05262b47b85c6bf2e1e899ffcca25b338c2482a09bd268ac8299444daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65ca9bef36e55bb315b0f4a4f9af1fc8ac31eb46a48ad68a0660ce5f1d07b97",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-24T03:44:36Z",
    "title_canon_sha256": "4fa9d94d3ee460ddea064925dec15fd490b4e623b1139cd13a2a53a3de3a2509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5339",
    "kind": "arxiv",
    "version": 1
  }
}