Pith Number

pith:D4XJJNYH

pith:2026:D4XJJNYHWI4H677WT4V6X3GEXA

not attested not anchored not stored refs pending

CausalOPD: First-Wrong-Step Supervision for Distilling Causal Chain Reasoning

Bingyi Wang, Jian Zhang, Yizhi Liu

arxiv:2608.03673 v1 · 2026-08-04 · 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{D4XJJNYHWI4H677WT4V6X3GEXA}

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	2026-08-05T01:36:51.765161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2e94b707b2387f7ff69f2bebecc4b82ef95b25444944f12345e318d6817034

Aliases

arxiv: 2608.03673 · arxiv_version: 2608.03673v1 · doi: 10.48550/arxiv.2608.03673 · pith_short_12: D4XJJNYHWI4H · pith_short_16: D4XJJNYHWI4H677W · pith_short_8: D4XJJNYH

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/D4XJJNYHWI4H677WT4V6X3GEXA \
  | 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: 1f2e94b707b2387f7ff69f2bebecc4b82ef95b25444944f12345e318d6817034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0191e46f6ea8a544b7c52ba83fb3ccf8ddf531d7f5ff6c7e32a1c027d9df92ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-04T13:49:12Z",
    "title_canon_sha256": "4f662dcee9fd494bf4c767f285c3d94464092765a0526ecc7f4ab061cae8083b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03673",
    "kind": "arxiv",
    "version": 1
  }
}