Pith Number

pith:AIO3B6T3

pith:2024:AIO3B6T35ULLIH5HEBFJQEDI6D

not attested not anchored not stored refs pending

On subdifferential chain rule of matrix factorization and beyond

Anthony Man-Cho So, Jiewen Guan

arxiv:2410.05022 v1 · 2024-10-07 · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIO3B6T35ULLIH5HEBFJQEDI6D}

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	2026-07-05T09:17:00.242082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021db0fa7bed16b41fa7204a981068f0f35b24afb7c0037a6fe8ac22072eb8fe

Aliases

arxiv: 2410.05022 · arxiv_version: 2410.05022v1 · doi: 10.48550/arxiv.2410.05022 · pith_short_12: AIO3B6T35ULL · pith_short_16: AIO3B6T35ULLIH5H · pith_short_8: AIO3B6T3

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/AIO3B6T35ULLIH5HEBFJQEDI6D \
  | 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: 021db0fa7bed16b41fa7204a981068f0f35b24afb7c0037a6fe8ac22072eb8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f4597e44e09ff0095991c266d1c62af901976ae8b8be5ee238eab838f9e6d6",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-07T13:24:59Z",
    "title_canon_sha256": "63f067a13248efdc6be135813837f537b224699b0b88f611aa45ee49279a410c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.05022",
    "kind": "arxiv",
    "version": 1
  }
}