Pith Number

pith:XCPMPO7T

pith:2012:XCPMPO7TCNP7WIE5IIBKABHNUY

not attested not anchored not stored refs pending

Streaming Algorithms for Optimal Generation of Random Bits

Hongchao Zhou, Jehoshua Bruck

arxiv:1209.0730 v1 · 2012-09-04 · cs.IT · cs.DS · 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{XCPMPO7TCNP7WIE5IIBKABHNUY}

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	2026-05-18T03:46:17.373926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89ec7bbf3135ffb209d4202a004eda62780ec72d185c0298f737da4fc3e6159

Aliases

arxiv: 1209.0730 · arxiv_version: 1209.0730v1 · doi: 10.48550/arxiv.1209.0730 · pith_short_12: XCPMPO7TCNP7 · pith_short_16: XCPMPO7TCNP7WIE5 · pith_short_8: XCPMPO7T

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/XCPMPO7TCNP7WIE5IIBKABHNUY \
  | 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: b89ec7bbf3135ffb209d4202a004eda62780ec72d185c0298f737da4fc3e6159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64dfbe706fe6b54802e05850975c30ea64cfd414ed633b0a0444284db1e11aa",
    "cross_cats_sorted": [
      "cs.DS",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-04T18:51:22Z",
    "title_canon_sha256": "ed7ffda03d5469489ec1aac93ced61a02779c91e676821193202b380c21ff428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0730",
    "kind": "arxiv",
    "version": 1
  }
}