Pith Number

pith:K52NNVZN

pith:2026:K52NNVZN4SYDNT24KJ4P6HKAC7

not attested not anchored not stored refs pending

Optimization over the intersection of manifolds

Bin Gao, Yan Yang, Ya-Xiang Yuan

arxiv:2605.22736 v1 · 2026-05-21 · math.OC · cs.LG · cs.NA · math.DG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K52NNVZN4SYDNT24KJ4P6HKAC7}

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	2026-05-22T02:04:52.507014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5774d6d72de4b036cf5c5278ff1d4017d448b9c88639fc9663df297277dae1f9

Aliases

arxiv: 2605.22736 · arxiv_version: 2605.22736v1 · doi: 10.48550/arxiv.2605.22736 · pith_short_12: K52NNVZN4SYD · pith_short_16: K52NNVZN4SYDNT24 · pith_short_8: K52NNVZN

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/K52NNVZN4SYDNT24KJ4P6HKAC7 \
  | 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: 5774d6d72de4b036cf5c5278ff1d4017d448b9c88639fc9663df297277dae1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b8aabb1c69a84132aba44a4312a4885850729dfa9ae5e5b04a73e952093de9",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.DG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-21T17:08:00Z",
    "title_canon_sha256": "0c562a6e4371930c7774b7fb84681f2b2dca33b226c72c00a9f9dbce8f8d7339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22736",
    "kind": "arxiv",
    "version": 1
  }
}