Pith Number

pith:EAQKQ3AH

pith:2024:EAQKQ3AHBKPPBNMMGVAQHOBGX7

not attested not anchored not stored refs pending

Stochastic optimization over expectation-formulated generalized Stiefel manifold

Linshuo Jiang, Nachuan Xiao, Xin Liu

arxiv:2412.20008 v1 · 2024-12-28 · 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{EAQKQ3AHBKPPBNMMGVAQHOBGX7}

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	2026-07-05T09:54:53.066777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2020a86c070a9ef0b58c354103b826bffbbc34b965fdf612254a328c867f085c

Aliases

arxiv: 2412.20008 · arxiv_version: 2412.20008v1 · doi: 10.48550/arxiv.2412.20008 · pith_short_12: EAQKQ3AHBKPP · pith_short_16: EAQKQ3AHBKPPBNMM · pith_short_8: EAQKQ3AH

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/EAQKQ3AHBKPPBNMMGVAQHOBGX7 \
  | 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: 2020a86c070a9ef0b58c354103b826bffbbc34b965fdf612254a328c867f085c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1bb8015e9f26398495824413d8ab128613513cbcba7422832adbce3e3aa89b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-28T04:07:50Z",
    "title_canon_sha256": "74acb16e4ffa8b9491a414a22669a5ac709da29517771e73a0662bddea946e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20008",
    "kind": "arxiv",
    "version": 1
  }
}