Pith Number

pith:345Y76MW

pith:2020:345Y76MW3KAZJQ7BMLYCOFKGZN

not attested not anchored not stored refs pending

Byzantine-Resilient Distributed Optimization of Multi-Dimensional Functions

Kananart Kuwaranancharoen, Lei Xin, Shreyas Sundaram

arxiv:2003.09038 v5 · 2020-03-19 · math.OC · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{345Y76MW3KAZJQ7BMLYCOFKGZN}

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	2026-07-05T07:51:22.301911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3b8ff996da8194c3e162f0271546cb555716158283036a1a06a84641488806

Aliases

arxiv: 2003.09038 · arxiv_version: 2003.09038v5 · doi: 10.48550/arxiv.2003.09038 · pith_short_12: 345Y76MW3KAZ · pith_short_16: 345Y76MW3KAZJQ7B · pith_short_8: 345Y76MW

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/345Y76MW3KAZJQ7BMLYCOFKGZN \
  | 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: df3b8ff996da8194c3e162f0271546cb555716158283036a1a06a84641488806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c67a4162b438147806ea928f8667006ee1596e3aa3348e9072e789a1670348",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-03-19T22:46:41Z",
    "title_canon_sha256": "ba9c120fa6c5bccd62b717dce73e9228ef0310e6d11252c73d580745931d39a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09038",
    "kind": "arxiv",
    "version": 5
  }
}