Pith Number

pith:J5OKRYOP

pith:2019:J5OKRYOPW3MTWJLALIUMACV3DS

not attested not anchored not stored refs pending

Accelerated First-Order Methods: Differential Equations and Lyapunov Functions

Jonathan W. Siegel

arxiv:1903.05671 v6 · 2019-03-13 · 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{J5OKRYOPW3MTWJLALIUMACV3DS}

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	2026-07-05T02:28:15.141927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5ca8e1cfb6d93b25605a28c00abb1ca8d238bb1e85e07be5251acb77ff60d9

Aliases

arxiv: 1903.05671 · arxiv_version: 1903.05671v6 · doi: 10.48550/arxiv.1903.05671 · pith_short_12: J5OKRYOPW3MT · pith_short_16: J5OKRYOPW3MTWJLA · pith_short_8: J5OKRYOP

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/J5OKRYOPW3MTWJLALIUMACV3DS \
  | 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: 4f5ca8e1cfb6d93b25605a28c00abb1ca8d238bb1e85e07be5251acb77ff60d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704cca3d6a597432a85b12e2d64bc1c083cd5a8c702b0d510bf5c05ad825c678",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-13T18:42:12Z",
    "title_canon_sha256": "ee4bf07267e86a5e1416f5b1cb40765fabe60ad0dda73b4a6eac7796788ad48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05671",
    "kind": "arxiv",
    "version": 6
  }
}