Pith Number

pith:GWZXJWS5

pith:2022:GWZXJWS54PQ5M6NPRT55LZ56CQ

not attested not anchored not stored refs pending

Learning Operators with Coupled Attention

George J. Pappas, Georgios Kissas, Jacob Seidman, Leonardo Ferreira Guilhoto, Paris Perdikaris, Victor M. Preciado

arxiv:2201.01032 v1 · 2022-01-04 · cs.LG · cs.AI · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWZXJWS54PQ5M6NPRT55LZ56CQ}

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	2026-07-05T03:45:15.595401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b374da5de3e1d679af8cfbd5e7be140f4b6b8390592a7c6b6b7ab061589838

Aliases

arxiv: 2201.01032 · arxiv_version: 2201.01032v1 · doi: 10.48550/arxiv.2201.01032 · pith_short_12: GWZXJWS54PQ5 · pith_short_16: GWZXJWS54PQ5M6NP · pith_short_8: GWZXJWS5

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/GWZXJWS54PQ5M6NPRT55LZ56CQ \
  | 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: 35b374da5de3e1d679af8cfbd5e7be140f4b6b8390592a7c6b6b7ab061589838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc05ac86e7bdc1fd081cd189c4ac81187a7b9642e43bbd4618e9930586593cae",
    "cross_cats_sorted": [
      "cs.AI",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-01-04T08:22:03Z",
    "title_canon_sha256": "14e0f1ddbd1af47f28c97bd92e7d4ca0711ccf856f632b36db781cdf29d9f734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.01032",
    "kind": "arxiv",
    "version": 1
  }
}