Pith Number

pith:G3FU2E3V

pith:2021:G3FU2E3VFPPWTHO7752JM7IKOT

not attested not anchored not stored refs pending

Accelerated Primal-Dual Gradient Method for Smooth and Convex-Concave Saddle-Point Problems with Bilinear Coupling

Alexander Gasnikov, Dmitry Kovalev, Peter Richt\'arik

arxiv:2112.15199 v2 · 2021-12-30 · math.OC · 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{G3FU2E3VFPPWTHO7752JM7IKOT}

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	2026-07-05T04:03:15.112279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cb4d13752bdf699ddfff74967d0a74fd22ebdcfeb05a557a192109b44aef52

Aliases

arxiv: 2112.15199 · arxiv_version: 2112.15199v2 · doi: 10.48550/arxiv.2112.15199 · pith_short_12: G3FU2E3VFPPW · pith_short_16: G3FU2E3VFPPWTHO7 · pith_short_8: G3FU2E3V

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/G3FU2E3VFPPWTHO7752JM7IKOT \
  | 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: 36cb4d13752bdf699ddfff74967d0a74fd22ebdcfeb05a557a192109b44aef52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e11067730cc45bbfe2da56c847d7e57406c560ca38ba8912d953d908419ddf59",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-30T20:31:46Z",
    "title_canon_sha256": "19a41da27e5f3a399cc9c4a2cfb2d43e26c11dcedd9aac4fc0350d6e3cffcb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15199",
    "kind": "arxiv",
    "version": 2
  }
}