Pith Number

pith:KWXIJJI5

pith:2019:KWXIJJI5IZUWELU6FNYN7DSWNX

not attested not anchored not stored refs pending

On the asymptotic convergence and acceleration of gradient methods

Hongchao Zhang, Xin-Wei Liu, Yakui Huang, Yu-Hong Dai

arxiv:1908.07111 v1 · 2019-08-19 · 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{KWXIJJI5IZUWELU6FNYN7DSWNX}

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	2026-07-04T23:58:30.947246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55ae84a51d4669622e9e2b70df8e566ddd3ab3b6317aadca9cace7df6dce1d0a

Aliases

arxiv: 1908.07111 · arxiv_version: 1908.07111v1 · doi: 10.48550/arxiv.1908.07111 · pith_short_12: KWXIJJI5IZUW · pith_short_16: KWXIJJI5IZUWELU6 · pith_short_8: KWXIJJI5

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/KWXIJJI5IZUWELU6FNYN7DSWNX \
  | 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: 55ae84a51d4669622e9e2b70df8e566ddd3ab3b6317aadca9cace7df6dce1d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4029ae8910d676f1d7630cae0e5168f2ed535ce598b13ca90faecc6c80a567b0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-19T23:54:45Z",
    "title_canon_sha256": "938270cd596b030637016b45b1bd56d769803907c37f090d288c6dbc286e6d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07111",
    "kind": "arxiv",
    "version": 1
  }
}