Pith Number

pith:AC4FRKG4

pith:2025:AC4FRKG4N7KGK5AYZP6GG4RD2U

not attested not anchored not stored refs pending

Gradient Descent as a Perceptron Algorithm: Understanding Dynamics and Implicit Acceleration

Alexander Tyurin

arxiv:2512.11587 v2 · 2025-12-12 · cs.LG · cs.NA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AC4FRKG4N7KGK5AYZP6GG4RD2U}

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	2026-05-22T01:03:52.124528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b858a8dc6fd4657418cbfc637223d52e30f6cc2a1a8efa83744bfd577b1919

Aliases

arxiv: 2512.11587 · arxiv_version: 2512.11587v2 · doi: 10.48550/arxiv.2512.11587 · pith_short_12: AC4FRKG4N7KG · pith_short_16: AC4FRKG4N7KGK5AY · pith_short_8: AC4FRKG4

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/AC4FRKG4N7KGK5AYZP6GG4RD2U \
  | 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: 00b858a8dc6fd4657418cbfc637223d52e30f6cc2a1a8efa83744bfd577b1919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45588a8731113b1431860e66437af001b435100852be188c8315b31069870a2b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-12T14:16:35Z",
    "title_canon_sha256": "c0ff70bc7d128aab7f49e611ec5c2ef95ff926ad5952f9ebb0fa9e5c21eaafe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11587",
    "kind": "arxiv",
    "version": 2
  }
}