Pith Number

pith:MFZIXBDL

pith:2025:MFZIXBDLXAJS5VD7VGABNJLUYT

not attested not anchored not stored refs pending

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold

Bin Gao, Kun Yuan, Peijin Li, Yilong Song

arxiv:2506.02879 v2 · 2025-06-03 · 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{MFZIXBDLXAJS5VD7VGABNJLUYT}

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	2026-07-05T11:51:28.007711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61728b846bb8132ed47fa98016a574c4fa3c38f0c2fca1e876e2327c1494e5be

Aliases

arxiv: 2506.02879 · arxiv_version: 2506.02879v2 · doi: 10.48550/arxiv.2506.02879 · pith_short_12: MFZIXBDLXAJS · pith_short_16: MFZIXBDLXAJS5VD7 · pith_short_8: MFZIXBDL

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/MFZIXBDLXAJS5VD7VGABNJLUYT \
  | 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: 61728b846bb8132ed47fa98016a574c4fa3c38f0c2fca1e876e2327c1494e5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b758cae19bffbfad38096a1b4b00399581b6918a387c752e638477f62e80c03",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-03T13:46:15Z",
    "title_canon_sha256": "776a4bb0e43a3751358d181f2f2d9c84acf9c795349b4db6cec716394b91fcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02879",
    "kind": "arxiv",
    "version": 2
  }
}