pith. sign in
Pith Number

pith:EZ4URKXZ

pith:2016:EZ4URKXZJ2KQMMCZSM5W4N7U5K
not attested not anchored not stored refs pending

Conditional probabilities and van Lambalgen theorem revisited

Alexander Shen, Bruno Bauwens, Hayato Takahashi

arxiv:1607.04240 v1 · 2016-07-14 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EZ4URKXZJ2KQMMCZSM5W4N7U5K}

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 2026-05-18T01:11:03.798360Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

267948aaf94e95063059933b6e37f4eab471fcefc5d4a6034dfd9a6377da05da

Aliases

arxiv: 1607.04240 · arxiv_version: 1607.04240v1 · doi: 10.48550/arxiv.1607.04240 · pith_short_12: EZ4URKXZJ2KQ · pith_short_16: EZ4URKXZJ2KQMMCZ · pith_short_8: EZ4URKXZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EZ4URKXZJ2KQMMCZSM5W4N7U5K \
  | 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: 267948aaf94e95063059933b6e37f4eab471fcefc5d4a6034dfd9a6377da05da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "69351c2e0e1a68ed12a02641d627b953d4c579bb9220cf59c0255ce4b9c93b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-07-14T18:42:15Z",
    "title_canon_sha256": "1906d0738ef30590324a533b1a6566cd8f49b0a8789146858c4ec4a3db4597b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04240",
    "kind": "arxiv",
    "version": 1
  }
}