Pith Number

pith:C65CN6V5

pith:2026:C65CN6V5ZJEJF4GPL44VPQVU7T

not attested not anchored not stored refs pending

Critic-Guided Heterogeneous Multi-Agent Reasoning for Reliable Mathematical Problem Solving

Abdul Rehman, Muhammad Talha Sharif

arxiv:2606.05704 v1 · 2026-06-04 · cs.AI · 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{C65CN6V5ZJEJF4GPL44VPQVU7T}

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	2026-06-05T01:14:59.842609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ba26fabdca4892f0cf5f3957c2b4fcd1be1d64904012f78b6efb70231820e3

Aliases

arxiv: 2606.05704 · arxiv_version: 2606.05704v1 · doi: 10.48550/arxiv.2606.05704 · pith_short_12: C65CN6V5ZJEJ · pith_short_16: C65CN6V5ZJEJF4GP · pith_short_8: C65CN6V5

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/C65CN6V5ZJEJF4GPL44VPQVU7T \
  | 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: 17ba26fabdca4892f0cf5f3957c2b4fcd1be1d64904012f78b6efb70231820e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48314d2c54e6f8e8b53f4506150d7e77bb10934af98af7b92afc9e625591043",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-04T04:52:35Z",
    "title_canon_sha256": "26bfcf41db3110c462ede3a5be9a10cecd62b67034fc356c2b8f4ca2f7eccb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05704",
    "kind": "arxiv",
    "version": 1
  }
}