Pith Number

pith:P43VXGCJ

pith:2026:P43VXGCJD4UVEGBSZERP6VHXJ3

not attested not anchored not stored refs pending

TRACER: Turn-level Regret Matching with Inner Reinforcement Credit for Cooperative Multi-LLM Reasoning

Chusen Li, Shuigeng Zhou, Wentao Zhang, Zhou Liu

arxiv:2605.28699 v1 · 2026-05-27 · 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{P43VXGCJD4UVEGBSZERP6VHXJ3}

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	2026-05-28T02:05:00.317289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f375b98491f29521832c922ff54f74ec5543bbea67a633d5f02c0fe1d188e6f

Aliases

arxiv: 2605.28699 · arxiv_version: 2605.28699v1 · doi: 10.48550/arxiv.2605.28699 · pith_short_12: P43VXGCJD4UV · pith_short_16: P43VXGCJD4UVEGBS · pith_short_8: P43VXGCJ

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/P43VXGCJD4UVEGBSZERP6VHXJ3 \
  | 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: 7f375b98491f29521832c922ff54f74ec5543bbea67a633d5f02c0fe1d188e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dee5d604f05cdb1a5049c48b170de194dc782902d7f78a4091c05b23e268f5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-27T16:25:21Z",
    "title_canon_sha256": "3d100b924859e06a7fbcc37776e79d936e053f20cc7815db282f86fe131b4cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28699",
    "kind": "arxiv",
    "version": 1
  }
}