Pith Number

pith:LE3U32C4

pith:2016:LE3U32C47RIPZCBY4GWO7HEZRW

not attested not anchored not stored refs pending

Convergence Rate Analysis of a Stochastic Trust Region Method via Submartingales

Coralia Cartis, Jose Blanchet, Katya Scheinberg, Matt Menickelly

arxiv:1609.07428 v3 · 2016-09-23 · 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{LE3U32C47RIPZCBY4GWO7HEZRW}

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	2026-05-18T00:02:45.935669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59374de85cfc50fc8838e1acef9c998da5c8b2d0d91ab87ad34588fdb37a324b

Aliases

arxiv: 1609.07428 · arxiv_version: 1609.07428v3 · doi: 10.48550/arxiv.1609.07428 · pith_short_12: LE3U32C47RIP · pith_short_16: LE3U32C47RIPZCBY · pith_short_8: LE3U32C4

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/LE3U32C47RIPZCBY4GWO7HEZRW \
  | 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: 59374de85cfc50fc8838e1acef9c998da5c8b2d0d91ab87ad34588fdb37a324b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880af3f43b3522704c6db91f125ad1b015d4c8715e2232d786f45229c2765ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-23T16:55:01Z",
    "title_canon_sha256": "db43c9682979184839827d15825d6febe7b84de0f927c0da88dd2d17f0225d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07428",
    "kind": "arxiv",
    "version": 3
  }
}