Pith Number

pith:OXS2BN5O

pith:2018:OXS2BN5OPF6YA26VW4ZBVDJWZX

not attested not anchored not stored refs pending

Subgradient Descent Learns Orthogonal Dictionaries

Ju Sun, Qijia Jiang, Yu Bai

arxiv:1810.10702 v2 · 2018-10-25 · cs.LG · cs.IT · math.IT · 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{OXS2BN5OPF6YA26VW4ZBVDJWZX}

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	2026-05-17T23:41:53.802457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e5a0b7ae797d806bd5b7321a8d36cdc21cc51ddf73f3cb9aa8908530b598b6

Aliases

arxiv: 1810.10702 · arxiv_version: 1810.10702v2 · doi: 10.48550/arxiv.1810.10702 · pith_short_12: OXS2BN5OPF6Y · pith_short_16: OXS2BN5OPF6YA26V · pith_short_8: OXS2BN5O

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/OXS2BN5OPF6YA26VW4ZBVDJWZX \
  | 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: 75e5a0b7ae797d806bd5b7321a8d36cdc21cc51ddf73f3cb9aa8908530b598b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfaf479e0c818d6ccbb4cdfbce00a128012fb0326f3e8c9c7aa26543badbbd79",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-10-25T03:07:58Z",
    "title_canon_sha256": "33816874eace201dcd83d7fbce0871e3e0fe54bdcaa3484e06576580f6a1616d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10702",
    "kind": "arxiv",
    "version": 2
  }
}