Pith Number

pith:ZQN7KIST

pith:2026:ZQN7KISTWDAZX44SM7CJMZWCRC

not attested not anchored not stored refs pending

Self-supervised local learning rules learn the hidden hierarchical structure of high-dimensional data

Ariane Delrocq, Guillaume Bellec, Wulfram Gerstner, Wu S. Zihan

arxiv:2605.18557 v1 · 2026-05-18 · cs.LG · cs.NE · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQN7KISTWDAZX44SM7CJMZWCRC}

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	2026-05-20T00:06:07.615599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1bf52253b0c19bf39267c49666c2888e7b958e6a0746f6b49babcff621b6f5

Aliases

arxiv: 2605.18557 · arxiv_version: 2605.18557v1 · doi: 10.48550/arxiv.2605.18557 · pith_short_12: ZQN7KISTWDAZ · pith_short_16: ZQN7KISTWDAZX44S · pith_short_8: ZQN7KIST

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/ZQN7KISTWDAZX44SM7CJMZWCRC \
  | 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: cc1bf52253b0c19bf39267c49666c2888e7b958e6a0746f6b49babcff621b6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6512a879f480f1790816f1f9be117e4a607adc9367c7acab357374d35f8a99be",
    "cross_cats_sorted": [
      "cs.NE",
      "q-bio.NC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-18T15:37:28Z",
    "title_canon_sha256": "449b17cf5afa6e9ce59af839a84bc52ab0227aeef69d10e8a124beb020ad1d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18557",
    "kind": "arxiv",
    "version": 1
  }
}