Pith Number

pith:QFM4FFNJ

pith:2019:QFM4FFNJ6T5RBEYEMLRITZLDN2

not attested not anchored not stored refs pending

Optimal Complexity and Certification of Bregman First-Order Methods

Adrien Taylor, Alexandre d'Aspremont, J\'er\^ome Bolte, Radu-Alexandru Dragomir

arxiv:1911.08510 v3 · 2019-11-19 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFM4FFNJ6T5RBEYEMLRITZLDN2}

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	2026-07-05T02:15:56.517488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8159c295a9f4fb10930462e289e5636eb14740339b2dea4f8eef74e658e176ae

Aliases

arxiv: 1911.08510 · arxiv_version: 1911.08510v3 · doi: 10.48550/arxiv.1911.08510 · pith_short_12: QFM4FFNJ6T5R · pith_short_16: QFM4FFNJ6T5RBEYE · pith_short_8: QFM4FFNJ

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/QFM4FFNJ6T5RBEYEMLRITZLDN2 \
  | 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: 8159c295a9f4fb10930462e289e5636eb14740339b2dea4f8eef74e658e176ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a85059d7a31de9906fec3660a886d95e3d31fd215427502a0777e173713683",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-11-19T19:12:48Z",
    "title_canon_sha256": "567af25be56c360f61329ae0028fd8668e6797dbc9d0dabc6b1876b5f0775c86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08510",
    "kind": "arxiv",
    "version": 3
  }
}