Pith Number

pith:LZ4HVJZT

pith:2025:LZ4HVJZTGRPIEFUKOV6FVS56EM

not attested not anchored not stored refs pending

Decentralised convex optimisation with probability-proportional-to-size quantization

Alexander Gasnikov, C\'esar A. Uribe, Dmitrii Pasechniuk, Pavel Dvurechensky

arxiv:2501.18312 v1 · 2025-01-30 · 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{LZ4HVJZTGRPIEFUKOV6FVS56EM}

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	2026-07-05T10:07:32.429927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e787aa733345e82168a757c5acbbe2326855f42da5f1b4273974e09c7a6d0f8

Aliases

arxiv: 2501.18312 · arxiv_version: 2501.18312v1 · doi: 10.48550/arxiv.2501.18312 · pith_short_12: LZ4HVJZTGRPI · pith_short_16: LZ4HVJZTGRPIEFUK · pith_short_8: LZ4HVJZT

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/LZ4HVJZTGRPIEFUKOV6FVS56EM \
  | 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: 5e787aa733345e82168a757c5acbbe2326855f42da5f1b4273974e09c7a6d0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2805006c23d8acc476b3e569cf30fa763efc887de3247b69e649cd5c5f5eaa1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-30T12:40:57Z",
    "title_canon_sha256": "f88004e95dba610e0208676c0069f649af80ddd65942d09cdc6419885198bf68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18312",
    "kind": "arxiv",
    "version": 1
  }
}