Pith Number

pith:TQXMQONR

pith:2026:TQXMQONRMXQLIGUO23O7JKDLDE

not attested not anchored not stored refs pending

Adjusted Cup-Product Neural Layer

Snigdha Chandan Khilar

arxiv:2606.13568 v1 · 2026-06-11 · cs.LG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQXMQONRMXQLIGUO23O7JKDLDE}

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	2026-06-12T01:10:10.567086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2ec839b165e0b41a8ed6ddf4a86b1917f18facfb35c49a4b2bcd1e6905d129

Aliases

arxiv: 2606.13568 · arxiv_version: 2606.13568v1 · doi: 10.48550/arxiv.2606.13568 · pith_short_12: TQXMQONRMXQL · pith_short_16: TQXMQONRMXQLIGUO · pith_short_8: TQXMQONR

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/TQXMQONRMXQLIGUO23O7JKDLDE \
  | 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: 9c2ec839b165e0b41a8ed6ddf4a86b1917f18facfb35c49a4b2bcd1e6905d129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1986af5f73582e7eab3e46b78caf2878449c5526f25433cb43367d329fd564e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-11T16:56:47Z",
    "title_canon_sha256": "cddbb42df187e8ef4d1c51c15c08b2ff61615e6d23800b86aff7fbfbad3daa38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13568",
    "kind": "arxiv",
    "version": 1
  }
}