Pith Number

pith:HE4UKGXR

pith:2021:HE4UKGXRHIKNB2AFJKSDQ5JNIB

not attested not anchored not stored refs pending

First-order algorithms for robust optimization problems via convex-concave saddle-point Lagrangian reformulation

Krzysztof Postek, Shimrit Shtern

arxiv:2101.02669 v2 · 2021-01-07 · 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{HE4UKGXRHIKNB2AFJKSDQ5JNIB}

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	2026-07-05T09:02:52.307393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3939451af13a14d0e8054aa438752d407f50472ba19afa8bc4730ed444ce745b

Aliases

arxiv: 2101.02669 · arxiv_version: 2101.02669v2 · doi: 10.48550/arxiv.2101.02669 · pith_short_12: HE4UKGXRHIKN · pith_short_16: HE4UKGXRHIKNB2AF · pith_short_8: HE4UKGXR

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/HE4UKGXRHIKNB2AFJKSDQ5JNIB \
  | 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: 3939451af13a14d0e8054aa438752d407f50472ba19afa8bc4730ed444ce745b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df9976a6941644f64fbfdef52ca8e1ebf71ad59e68e286f96d05c14a32d2b19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-01-07T18:25:47Z",
    "title_canon_sha256": "30238f69ed2871dc48e3f36ab910cb55fb2240ce57f24e5201fbfe792e1c5e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.02669",
    "kind": "arxiv",
    "version": 2
  }
}