Pith Number

pith:2PKORKQ3

pith:2023:2PKORKQ3JXIEFSQ3KTIIAZDQ5S

not attested not anchored not stored refs pending

Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

Jiang Hu, Kangkang Deng

arxiv:2304.08241 v4 · 2023-04-17 · 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{2PKORKQ3JXIEFSQ3KTIIAZDQ5S}

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	2026-07-05T06:55:53.787044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d4e8aa1b4dd042ca1b54d0806470ecb6778c6f2caa3b35cadec13bd50f5ef3

Aliases

arxiv: 2304.08241 · arxiv_version: 2304.08241v4 · doi: 10.48550/arxiv.2304.08241 · pith_short_12: 2PKORKQ3JXIE · pith_short_16: 2PKORKQ3JXIEFSQ3 · pith_short_8: 2PKORKQ3

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/2PKORKQ3JXIEFSQ3KTIIAZDQ5S \
  | 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: d3d4e8aa1b4dd042ca1b54d0806470ecb6778c6f2caa3b35cadec13bd50f5ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be9421f6ecdd48b1d0c6c6541b8cb39d431153127c7b8ff6b28f634e637cb2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-04-17T13:00:43Z",
    "title_canon_sha256": "b4a8045506f5f3a91c11c6b76e7967efccf587dfc3100f05f5e979ac044a7646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.08241",
    "kind": "arxiv",
    "version": 4
  }
}