Pith Number

pith:NVRAO7N6

pith:2026:NVRAO7N6K43QYYWV4DCI5MLP2S

not attested not anchored not stored refs pending

Learning to Coordinate Symbolic Tools: LLM Agents for Verified Sum-of-Squares Certificates

Bohan Chen, Richard Hoffmann, Sam Looi, Shivam N. Patel, Tony Yue Yu

arxiv:2608.00326 v1 · 2026-07-31 · 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{NVRAO7N6K43QYYWV4DCI5MLP2S}

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	2026-08-04T00:35:06.351908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d62077dbe57370c62d5e0c48eb16fd48a844f9aaec799b2c0cf3a10d71426c7

Aliases

arxiv: 2608.00326 · arxiv_version: 2608.00326v1 · doi: 10.48550/arxiv.2608.00326 · pith_short_12: NVRAO7N6K43Q · pith_short_16: NVRAO7N6K43QYYWV · pith_short_8: NVRAO7N6

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/NVRAO7N6K43QYYWV4DCI5MLP2S \
  | 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: 6d62077dbe57370c62d5e0c48eb16fd48a844f9aaec799b2c0cf3a10d71426c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6357894074f30c1ff208c20d6f4ca5c611fd18f87709ded106bd203f0177a73f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-31T22:26:45Z",
    "title_canon_sha256": "39c61535184d43f399633335f560c322be2c194ef241690420a685d0c71d2da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00326",
    "kind": "arxiv",
    "version": 1
  }
}