Pith Number

pith:TODY4EBA

pith:2026:TODY4EBAKT5LTGOCJRYXJBBOOV

not attested not anchored not stored refs pending

Iterative Causal Discovery: Per-Edge Impossibility Certificates, Tier-Aware Oracle Queries, and the $1+K$ Lower Bound

Eichi Uehara

arxiv:2605.27477 v1 · 2026-05-26 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TODY4EBAKT5LTGOCJRYXJBBOOV}

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	2026-05-28T00:05:20.442266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b878e102054fab999c24c7174842e75488f22ee679ae2b0c313d6afc2e4125f

Aliases

arxiv: 2605.27477 · arxiv_version: 2605.27477v1 · doi: 10.48550/arxiv.2605.27477 · pith_short_12: TODY4EBAKT5L · pith_short_16: TODY4EBAKT5LTGOC · pith_short_8: TODY4EBA

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/TODY4EBAKT5LTGOCJRYXJBBOOV \
  | 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: 9b878e102054fab999c24c7174842e75488f22ee679ae2b0c313d6afc2e4125f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77dfbf2765d275ae61a7ed8323ed904cc01f6565194581f6786d85b341dc1217",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-26T12:01:32Z",
    "title_canon_sha256": "17cd82ea5de00f4f4af4223e7aa3e42f49b5e6fe22b9fd39b5aded0c8b1f8ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27477",
    "kind": "arxiv",
    "version": 1
  }
}