Pith Number

pith:UYWJ4OQD

pith:2025:UYWJ4OQDJE7KFXO7XTPHTN732Y

not attested not anchored not stored refs pending

Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning

Andreas Lemos, Andrew Kiruluta, Priscilla Burity

arxiv:2507.21189 v1 · 2025-07-27 · 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{UYWJ4OQDJE7KFXO7XTPHTN732Y}

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	2026-07-05T11:44:54.093542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a62c9e3a03493ea2dddfbcde79b7fbd61c3525ea8c5357238c0ba1c0ead33a1d

Aliases

arxiv: 2507.21189 · arxiv_version: 2507.21189v1 · doi: 10.48550/arxiv.2507.21189 · pith_short_12: UYWJ4OQDJE7K · pith_short_16: UYWJ4OQDJE7KFXO7 · pith_short_8: UYWJ4OQD

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/UYWJ4OQDJE7KFXO7XTPHTN732Y \
  | 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: a62c9e3a03493ea2dddfbcde79b7fbd61c3525ea8c5357238c0ba1c0ead33a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c09be915fa57ae53e90c870825fa028c517f3baeacef9150dd994f5b883b42e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-27T18:52:10Z",
    "title_canon_sha256": "d4b2aec18b607fab44b1fc6f9a2ca20d9b94bc2ae1d4b36e31417fc77cef3822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21189",
    "kind": "arxiv",
    "version": 1
  }
}