Pith Number

pith:PYJOSAAK

pith:2011:PYJOSAAKCQYKWXYF3OFWRDMHNC

not attested not anchored not stored refs pending

Algorithmic Randomness and Capacity of Closed Sets

Douglas Cenzer (University of Florida), Ferit Toska (University of Florida), Paul Brodhead (Indian River State College), Sebastian Wyman (University of Florida)

arxiv:1106.2993 v2 · 2011-06-15 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYJOSAAKCQYKWXYF3OFWRDMHNC}

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	2026-05-18T01:37:39.413151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e12e9000a1430ab5f05db8b688d8768ba5caa1b1fd2ebebe84dd92d3a03a230

Aliases

arxiv: 1106.2993 · arxiv_version: 1106.2993v2 · doi: 10.48550/arxiv.1106.2993 · pith_short_12: PYJOSAAKCQYK · pith_short_16: PYJOSAAKCQYKWXYF · pith_short_8: PYJOSAAK

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/PYJOSAAKCQYKWXYF3OFWRDMHNC \
  | 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: 7e12e9000a1430ab5f05db8b688d8768ba5caa1b1fd2ebebe84dd92d3a03a230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c64d85c13dd04cec17d2c5888015754eed5b0f57815c9e1f02a62c2e091c974",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-06-15T15:19:01Z",
    "title_canon_sha256": "b8ea98efd6a0fe0130f61be7c26c2229d1d2cd70ced859a4502906bd25da40be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2993",
    "kind": "arxiv",
    "version": 2
  }
}