Pith Number

pith:MHN4YZTA

pith:2018:MHN4YZTAZ5JRKG7Z7KMZZM53LN

not attested not anchored not stored refs pending

Distributed heavy-ball: A generalization and acceleration of first-order methods with gradient tracking

Ran Xin, Usman A. Khan

arxiv:1808.02942 v2 · 2018-08-08 · 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{MHN4YZTAZ5JRKG7Z7KMZZM53LN}

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	2026-05-18T00:08:25.291860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61dbcc6660cf53151bf9fa999cb3bb5b6c04287680aac1c5c1e65c90a38f650a

Aliases

arxiv: 1808.02942 · arxiv_version: 1808.02942v2 · doi: 10.48550/arxiv.1808.02942 · pith_short_12: MHN4YZTAZ5JR · pith_short_16: MHN4YZTAZ5JRKG7Z · pith_short_8: MHN4YZTA

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/MHN4YZTAZ5JRKG7Z7KMZZM53LN \
  | 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: 61dbcc6660cf53151bf9fa999cb3bb5b6c04287680aac1c5c1e65c90a38f650a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111e59e7a3551cfabb01a4635b98134ab8b451c12ed73143a28f75a5670cba6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-08-08T21:14:46Z",
    "title_canon_sha256": "3d37c4ec05ef799fd5b6485afb7d3db956be99193f520825dc14a028ab3cfdf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02942",
    "kind": "arxiv",
    "version": 2
  }
}