Pith Number

pith:D4ZECYTI

pith:2024:D4ZECYTIZVM2TDFC6Y5DX2D6TL

not attested not anchored not stored refs pending

Two Tales of Single-Phase Contrastive Hebbian Learning

Christopher Zach, Rasmus Kj{\ae}r H{\o}ier

arxiv:2402.08573 v3 · 2024-02-13 · cs.LG · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4ZECYTIZVM2TDFC6Y5DX2D6TL}

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	2026-07-05T09:43:05.813695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f32416268cd59a98ca2f63a3be87e9afe9d839b03e79daa63d0c82cf385e4df

Aliases

arxiv: 2402.08573 · arxiv_version: 2402.08573v3 · doi: 10.48550/arxiv.2402.08573 · pith_short_12: D4ZECYTIZVM2 · pith_short_16: D4ZECYTIZVM2TDFC · pith_short_8: D4ZECYTI

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/D4ZECYTIZVM2TDFC6Y5DX2D6TL \
  | 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: 1f32416268cd59a98ca2f63a3be87e9afe9d839b03e79daa63d0c82cf385e4df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6645f4161353e46fa484c9cb672cbfe78b7da37c6af2a0e333a21da896341eab",
    "cross_cats_sorted": [
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-13T16:21:18Z",
    "title_canon_sha256": "0b0b37a7476ec583cec027beb0dcb356edb85de6674f4fa32b082b439c8c3e1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08573",
    "kind": "arxiv",
    "version": 3
  }
}