Pith Number

pith:WKCXR7MI

pith:2025:WKCXR7MI2K6MI2GZAR6FGIJB7Z

not attested not anchored not stored refs pending

From Language to Logic: A Bi-Level Framework for Structured Reasoning

Hao Wang, Kai Yang, Keying Yang

arxiv:2507.08501 v1 · 2025-07-11 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKCXR7MI2K6MI2GZAR6FGIJB7Z}

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	2026-07-05T11:35:41.189764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28578fd88d2bcc468d9047c532121fe4b7eab5b53ad541dd2a824d9ebbbe649

Aliases

arxiv: 2507.08501 · arxiv_version: 2507.08501v1 · doi: 10.48550/arxiv.2507.08501 · pith_short_12: WKCXR7MI2K6M · pith_short_16: WKCXR7MI2K6MI2GZ · pith_short_8: WKCXR7MI

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/WKCXR7MI2K6MI2GZAR6FGIJB7Z \
  | 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: b28578fd88d2bcc468d9047c532121fe4b7eab5b53ad541dd2a824d9ebbbe649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e6207eaefd4590a5923d733aaf5dfebbab90a8b329f986c3d919c560a70093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-07-11T11:24:09Z",
    "title_canon_sha256": "9c3fea151d2c44d9b3b354d63234c2e2284a4d5991e2866478a9f9c2c39ab7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08501",
    "kind": "arxiv",
    "version": 1
  }
}