Pith Number

pith:O6FJRLMV

pith:2026:O6FJRLMVIVQGZ6PXMIXNBKIJPH

not attested not anchored not stored refs pending

Certifying Collective Reasoning in Multi-Agent Systems via Koopman Spectral Analysis

Indrakshi Dey, Nuzhat Khan

arxiv:2608.05956 v1 · 2026-08-06 · cs.MA · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6FJRLMVIVQGZ6PXMIXNBKIJPH}

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	2026-08-07T00:54:09.380066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

778a98ad9545606cf9f7622ed0a90979ea903cabddd01c881f3e51d7c026bfff

Aliases

arxiv: 2608.05956 · arxiv_version: 2608.05956v1 · doi: 10.48550/arxiv.2608.05956 · pith_short_12: O6FJRLMVIVQG · pith_short_16: O6FJRLMVIVQGZ6PX · pith_short_8: O6FJRLMV

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/O6FJRLMVIVQGZ6PXMIXNBKIJPH \
  | 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: 778a98ad9545606cf9f7622ed0a90979ea903cabddd01c881f3e51d7c026bfff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a10e3a55d00d2f3dfd1cef246a905a9939ce42fa74a9e4b52b088e772a70eae",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2026-08-06T12:30:27Z",
    "title_canon_sha256": "381c085cc99ebfb9920fbae127891a0e8c467cd5a0e6674a3c11efc720f921c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05956",
    "kind": "arxiv",
    "version": 1
  }
}