Pith Number

pith:ZCO65PV6

pith:2026:ZCO65PV6NGOUBXN7ZV2NGWR4DP

not attested not anchored not stored refs pending

A generative pre-trained transformer with Kerr-soliton attention

Lindell M. Williams, Scott B. Papp, Yan Jin

arxiv:2605.24124 v1 · 2026-05-22 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCO65PV6NGOUBXN7ZV2NGWR4DP}

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	2026-05-26T01:02:47.629452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89deebebe699d40ddbfcd74d35a3c1bdb65e699d2dcf9fa95c30a99fbf78615

Aliases

arxiv: 2605.24124 · arxiv_version: 2605.24124v1 · doi: 10.48550/arxiv.2605.24124 · pith_short_12: ZCO65PV6NGOU · pith_short_16: ZCO65PV6NGOUBXN7 · pith_short_8: ZCO65PV6

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/ZCO65PV6NGOUBXN7ZV2NGWR4DP \
  | 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: c89deebebe699d40ddbfcd74d35a3c1bdb65e699d2dcf9fa95c30a99fbf78615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926de1fbe11ac56ebf8d85a99db8e7afee43e03fcb27feb0cf9567a1875ae5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-22T18:34:06Z",
    "title_canon_sha256": "a9c814ae3ad371db1994f925b3fd9b7fae155771c38e79f393274e9d58114691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24124",
    "kind": "arxiv",
    "version": 1
  }
}