Pith Number

pith:WF32U6JM

pith:2016:WF32U6JMNNXH4SBAQRUL2AO5RD

not attested not anchored not stored refs pending

Tight Complexity Bounds for Optimizing Composite Objectives

Blake Woodworth, Nathan Srebro

arxiv:1605.08003 v3 · 2016-05-25 · math.OC · cs.LG · 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{WF32U6JMNNXH4SBAQRUL2AO5RD}

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	2026-05-17T23:49:28.241655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b177aa792c6b6e7e48208468bd01dd88c6b530af735436472b9ca1a4da0161a0

Aliases

arxiv: 1605.08003 · arxiv_version: 1605.08003v3 · doi: 10.48550/arxiv.1605.08003 · pith_short_12: WF32U6JMNNXH · pith_short_16: WF32U6JMNNXH4SBA · pith_short_8: WF32U6JM

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/WF32U6JMNNXH4SBAQRUL2AO5RD \
  | 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: b177aa792c6b6e7e48208468bd01dd88c6b530af735436472b9ca1a4da0161a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609623d1e24f3fe4e7068539c4d2a982242fcd506842f1d4015fc05b6b2f50fc",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-25T18:44:54Z",
    "title_canon_sha256": "6e0bc44b38c8b532cb7803b9f1be19b837bb98fb5d5c18e57c3f42cfc5c435b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08003",
    "kind": "arxiv",
    "version": 3
  }
}