Pith Number

pith:CZ2YV4EM

pith:2026:CZ2YV4EM5277FB6RZJZXUO4LFP

not attested not anchored not stored refs pending

Not All Tokens Deserve Equal Credit: Counterfactual Sensitivity Credit Reallocation for Long-CoT Reasoning

Qiangqiang He, Zhongheng Wu, Zijian Wang

arxiv:2607.27888 v1 · 2026-07-30 · 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{CZ2YV4EM5277FB6RZJZXUO4LFP}

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	2026-07-31T01:34:34.623236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

16758af08ceebff287d1ca737a3b8b2be68434e5cabcb78cb26cac193bb9105c

Aliases

arxiv: 2607.27888 · arxiv_version: 2607.27888v1 · doi: 10.48550/arxiv.2607.27888 · pith_short_12: CZ2YV4EM5277 · pith_short_16: CZ2YV4EM5277FB6R · pith_short_8: CZ2YV4EM

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/CZ2YV4EM5277FB6RZJZXUO4LFP \
  | 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: 16758af08ceebff287d1ca737a3b8b2be68434e5cabcb78cb26cac193bb9105c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c936fe9a143a2130a48151f1935d0263d70983efd66b3dfa0d67d49c987e8b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-30T09:03:33Z",
    "title_canon_sha256": "605c0a3badf5c256b6c1f8481a7aa2bf07ced061fef454e684b6822d843ae9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27888",
    "kind": "arxiv",
    "version": 1
  }
}