Pith Number

pith:G2PWRAWW

pith:2016:G2PWRAWW4IEMH4XMWYB4T3ZT32

not attested not anchored not stored refs pending

A Simple Practical Accelerated Method for Finite Sums

Aaron Defazio

arxiv:1602.02442 v2 · 2016-02-08 · stat.ML · 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{G2PWRAWW4IEMH4XMWYB4T3ZT32}

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	2026-05-18T01:01:00.324728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369f6882d6e208c3f2ecb603c9ef33de865dff55c20e450904049df5c0ed09de

Aliases

arxiv: 1602.02442 · arxiv_version: 1602.02442v2 · doi: 10.48550/arxiv.1602.02442 · pith_short_12: G2PWRAWW4IEM · pith_short_16: G2PWRAWW4IEMH4XM · pith_short_8: G2PWRAWW

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/G2PWRAWW4IEMH4XMWYB4T3ZT32 \
  | 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: 369f6882d6e208c3f2ecb603c9ef33de865dff55c20e450904049df5c0ed09de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7757a0cdf9d16db81972ccd9941665a6e54f06685f9156ed8570de69893e738",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-02-08T00:24:01Z",
    "title_canon_sha256": "08954a3c5dadc92c7f7bb3434540b960d16faf86afdf3b7582b027ec1c87c186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02442",
    "kind": "arxiv",
    "version": 2
  }
}