Pith Number

pith:J5U5L4LQ

pith:2012:J5U5L4LQSWPCWYSXO65US634JZ

not attested not anchored not stored refs pending

Van Lambalgen's Theorem for uniformly relative Schnorr and computable randomness

Jason Rute, Kenshi Miyabe

arxiv:1209.5478 v2 · 2012-09-25 · 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{J5U5L4LQSWPCWYSXO65US634JZ}

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	2026-05-18T03:26:42.780230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f69d5f170959e2b625777bb497b7c4e72e2412236670fb0bda2a319e1d37770

Aliases

arxiv: 1209.5478 · arxiv_version: 1209.5478v2 · doi: 10.48550/arxiv.1209.5478 · pith_short_12: J5U5L4LQSWPC · pith_short_16: J5U5L4LQSWPCWYSX · pith_short_8: J5U5L4LQ

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/J5U5L4LQSWPCWYSXO65US634JZ \
  | 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: 4f69d5f170959e2b625777bb497b7c4e72e2412236670fb0bda2a319e1d37770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee5b83a745c7eb6648a423632c98d49776ab22a09fa24ac9510da489c22c7c2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-25T02:55:35Z",
    "title_canon_sha256": "1b06807339c01c083e6f77f3dcbd545415ce408f40c6cc4900458687e639d3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5478",
    "kind": "arxiv",
    "version": 2
  }
}