Pith Number

pith:F65PG7WF

pith:2015:F65PG7WFVDC3O6MWXV3UU4KPTV

not attested not anchored not stored refs pending

On the Convergence Rate of Incremental Aggregated Gradient Algorithms

Asuman Ozdaglar, Mert Gurbuzbalaban, Pablo Parrilo

arxiv:1506.02081 v1 · 2015-06-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F65PG7WFVDC3O6MWXV3UU4KPTV}

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	2026-05-18T00:26:09.076142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbaf37ec5a8c5b77996bd774a714f9d61809e58e11459866a001f4fc08faa99

Aliases

arxiv: 1506.02081 · arxiv_version: 1506.02081v1 · doi: 10.48550/arxiv.1506.02081 · pith_short_12: F65PG7WFVDC3 · pith_short_16: F65PG7WFVDC3O6MW · pith_short_8: F65PG7WF

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/F65PG7WFVDC3O6MWXV3UU4KPTV \
  | 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: 2fbaf37ec5a8c5b77996bd774a714f9d61809e58e11459866a001f4fc08faa99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf222f2a83165e7826b57eaf15378d7c2f53121bdfe7a838d4436c5445a3ac92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-05T22:43:55Z",
    "title_canon_sha256": "d67be229fea3cfe1b1d0f834b27951cf8c9124f7bc192b3f6b7cb7cb6ef5435a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02081",
    "kind": "arxiv",
    "version": 1
  }
}