Pith Number

pith:JAY735XP

pith:2024:JAY735XPV4EG3N6BARUN5UEZ4P

not attested not anchored not stored refs pending

A general framework of Riemannian adaptive optimization methods with a convergence analysis

Hideaki Iiduka, Hiroyuki Sakai

arxiv:2409.00859 v2 · 2024-09-01 · 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{JAY735XPV4EG3N6BARUN5UEZ4P}

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	2026-07-05T10:13:42.644407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4831fdf6efaf086db7c10468ded099e3e1214f0d08e7416d7acdbf8ad9c85386

Aliases

arxiv: 2409.00859 · arxiv_version: 2409.00859v2 · doi: 10.48550/arxiv.2409.00859 · pith_short_12: JAY735XPV4EG · pith_short_16: JAY735XPV4EG3N6B · pith_short_8: JAY735XP

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/JAY735XPV4EG3N6BARUN5UEZ4P \
  | 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: 4831fdf6efaf086db7c10468ded099e3e1214f0d08e7416d7acdbf8ad9c85386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bbc964e5533a5acdc984188e1bd47b71018c3af0926e45aa105820d4b45a342",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-01T22:31:02Z",
    "title_canon_sha256": "627c09a7bb95023fc7fa520a4b2a41ae2ed237f2c51778c642b840d58f563382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00859",
    "kind": "arxiv",
    "version": 2
  }
}