Pith Number

pith:SO2PEAMV

pith:2026:SO2PEAMVOGYGIAWDRJ3NBXI4NO

not attested not anchored not stored refs pending

PCTD: Preference-Guided Counterfactual Task Decomposition for Agent Tool Retrieval

Chu Zhao, Fei Huang, Guibing Guo, Jianzhe Zhao, Lei Tang, Minghang Li, Yuanyuan Zhao, Zhengzong Chen

arxiv:2607.15696 v1 · 2026-07-17 · cs.IR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO2PEAMVOGYGIAWDRJ3NBXI4NO}

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	2026-07-20T01:19:04.855675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b4f2019571b06402c38a76d0dd1c6bb473b9dd3c8ce3b3346440bccd8146df

Aliases

arxiv: 2607.15696 · arxiv_version: 2607.15696v1 · doi: 10.48550/arxiv.2607.15696 · pith_short_12: SO2PEAMVOGYG · pith_short_16: SO2PEAMVOGYGIAWD · pith_short_8: SO2PEAMV

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/SO2PEAMVOGYGIAWDRJ3NBXI4NO \
  | 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: 93b4f2019571b06402c38a76d0dd1c6bb473b9dd3c8ce3b3346440bccd8146df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c046f9e0997bf9722d2a45dc9dba9e0d449c1a5386f9344353c5fa157c184155",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2026-07-17T07:15:41Z",
    "title_canon_sha256": "841692fb06ce2d13c81a9bb47305de00f199b84bfcc98e56ddfc5b9aa431ce0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15696",
    "kind": "arxiv",
    "version": 1
  }
}