Pith Number

pith:VRNAJSJQ

pith:2024:VRNAJSJQKIPB2ZX2NK4G4JXMXE

not attested not anchored not stored refs pending

Approximation and Gradient Descent Training with Neural Networks

G. Welper

arxiv:2405.11696 v1 · 2024-05-19 · 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{VRNAJSJQKIPB2ZX2NK4G4JXMXE}

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.

Cited by

1 paper in Pith

Mathematical analysis of the gradients in deep learning

Receipt and verification

First computed	2026-07-05T08:20:43.160952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5a04c930521e1d66fa6ab86e26ecb900cb0dedabfe68177ccfddf865e618f6

Aliases

arxiv: 2405.11696 · arxiv_version: 2405.11696v1 · doi: 10.48550/arxiv.2405.11696 · pith_short_12: VRNAJSJQKIPB · pith_short_16: VRNAJSJQKIPB2ZX2 · pith_short_8: VRNAJSJQ

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/VRNAJSJQKIPB2ZX2NK4G4JXMXE \
  | 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: ac5a04c930521e1d66fa6ab86e26ecb900cb0dedabfe68177ccfddf865e618f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd1d17b93beb52a2302656f5cdb99683ecef058146bcc50306d69ae847f0a22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-19T23:04:09Z",
    "title_canon_sha256": "96cc9498957514774b964a313e2123da05c9efbb437dc249f38925c7483e3dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11696",
    "kind": "arxiv",
    "version": 1
  }
}