Pith Number

pith:Q65RIAKX

pith:2026:Q65RIAKXXFX77PNVAGXU6X52T5

not attested not anchored not stored refs pending

Fitting Unknown Number of Hyperplanes with Manifold Optimization

Liang Lin, Lingbo Liu, Mingjin Zhang, Yu Zhan, Zhiqin Cheng

arxiv:2605.28501 v1 · 2026-05-27 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q65RIAKXXFX77PNVAGXU6X52T5}

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	2026-05-28T02:04:54.748396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bb140157b96fffbdb501af4f5fba9f6e34aec3f55d9fddb718d74217c14a18

Aliases

arxiv: 2605.28501 · arxiv_version: 2605.28501v1 · doi: 10.48550/arxiv.2605.28501 · pith_short_12: Q65RIAKXXFX7 · pith_short_16: Q65RIAKXXFX77PNV · pith_short_8: Q65RIAKX

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/Q65RIAKXXFX77PNVAGXU6X52T5 \
  | 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: 87bb140157b96fffbdb501af4f5fba9f6e34aec3f55d9fddb718d74217c14a18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97505b7c18c4076234a0a5776c35a356e1111e14b69a4d901c9a15c36901d369",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-27T14:02:20Z",
    "title_canon_sha256": "b0c7e00191b1d5840b05fb69d6b23eb610fbaf263fbd30585c26d0a6bad1966f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28501",
    "kind": "arxiv",
    "version": 1
  }
}