Pith Number

pith:XI5FH7XN

pith:2009:XI5FH7XNCA5EJV27RB55CCOGBY

not attested not anchored not stored refs pending

Partial randomness and dimension of recursively enumerable reals

Kohtaro Tadaki

arxiv:0906.2812 v1 · 2009-06-15 · cs.CC · cs.IT · math.IT · 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{XI5FH7XNCA5EJV27RB55CCOGBY}

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	2026-05-18T02:13:19.866411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3a53feed103a44d75f887bd109c60e0a41acba533fd328aef1d0cfa718e001

Aliases

arxiv: 0906.2812 · arxiv_version: 0906.2812v1 · doi: 10.48550/arxiv.0906.2812 · pith_short_12: XI5FH7XNCA5E · pith_short_16: XI5FH7XNCA5EJV27 · pith_short_8: XI5FH7XN

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/XI5FH7XNCA5EJV27RB55CCOGBY \
  | 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: ba3a53feed103a44d75f887bd109c60e0a41acba533fd328aef1d0cfa718e001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a179176e03cae7ebf9ef47f48e94547ccc1a398820dedcbe9918afc4f1374866",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-06-15T21:40:00Z",
    "title_canon_sha256": "de4ff7e58e2304af9ad30360f4ccf0c282fd46da0b30139479a86244b468fad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2812",
    "kind": "arxiv",
    "version": 1
  }
}