Pith Number

pith:S62M7L66

pith:2019:S62M7L66HRN7L6K57Y6IMUXJP5

not attested not anchored not stored refs pending

Efficient Optimization of Loops and Limits with Randomized Telescoping Sums

Alex Beatson, Ryan P. Adams

arxiv:1905.07006 v1 · 2019-05-16 · 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{S62M7L66HRN7L6K57Y6IMUXJP5}

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	2026-05-17T23:45:57.554152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b4cfafde3c5bf5f95dfe3c8652e97f7edeb49fc08ecf1169309b67830b18b2

Aliases

arxiv: 1905.07006 · arxiv_version: 1905.07006v1 · doi: 10.48550/arxiv.1905.07006 · pith_short_12: S62M7L66HRN7 · pith_short_16: S62M7L66HRN7L6K5 · pith_short_8: S62M7L66

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/S62M7L66HRN7L6K57Y6IMUXJP5 \
  | 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: 97b4cfafde3c5bf5f95dfe3c8652e97f7edeb49fc08ecf1169309b67830b18b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f3ccc6d47e932572b106a10cfc5c5e20435ea187684373a37a764f91aafbbe",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-16T19:33:49Z",
    "title_canon_sha256": "3b48a27836c979a77aa96acf583ca73d2c91b2ce851647b3a4fe718c6aa9b669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07006",
    "kind": "arxiv",
    "version": 1
  }
}