Pith Number

pith:OXVQEGX6

pith:2024:OXVQEGX64LPAWI4FIOEIWSATMG

not attested not anchored not stored refs pending

Learning complexity of gradient descent and conjugate gradient algorithms

Jia Liu, Xianqi Jiao, Zhiping Chen

arxiv:2412.13473 v1 · 2024-12-18 · math.OC · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXVQEGX64LPAWI4FIOEIWSATMG}

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	2026-07-05T09:51:02.341379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75eb021afee2de0b238543888b481361a08e122eae9a61908ce287c452747d82

Aliases

arxiv: 2412.13473 · arxiv_version: 2412.13473v1 · doi: 10.48550/arxiv.2412.13473 · pith_short_12: OXVQEGX64LPA · pith_short_16: OXVQEGX64LPAWI4F · pith_short_8: OXVQEGX6

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/OXVQEGX64LPAWI4FIOEIWSATMG \
  | 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: 75eb021afee2de0b238543888b481361a08e122eae9a61908ce287c452747d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cbec81293d25cffb1eb81265fe083ddb51d6dead9c5c6aae549274fadaf1da",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-18T03:38:29Z",
    "title_canon_sha256": "c2bde9f5acecb42446816570418affa69a56e2f5b4b0acbd5538175c8fe51804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13473",
    "kind": "arxiv",
    "version": 1
  }
}