Pith Number

pith:ISCF5I7O

pith:2013:ISCF5I7OJHYWEJDVGAU7APXY3U

not attested not anchored not stored refs pending

A Framework of Constraint Preserving Update Schemes for Optimization on Stiefel Manifold

Bo Jiang, Yu-Hong Dai

arxiv:1301.0172 v3 · 2013-01-02 · 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{ISCF5I7OJHYWEJDVGAU7APXY3U}

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	2026-05-18T02:42:29.156811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44845ea3ee49f16224753029f03ef8dd1000a4dc0ce17ea90fdd4e5941c69526

Aliases

arxiv: 1301.0172 · arxiv_version: 1301.0172v3 · doi: 10.48550/arxiv.1301.0172 · pith_short_12: ISCF5I7OJHYW · pith_short_16: ISCF5I7OJHYWEJDV · pith_short_8: ISCF5I7O

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/ISCF5I7OJHYWEJDVGAU7APXY3U \
  | 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: 44845ea3ee49f16224753029f03ef8dd1000a4dc0ce17ea90fdd4e5941c69526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab647d32be7a7f04f607e429caf3a28b0ba087fd3ea84b8ab17fdd538413c63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-02T06:42:20Z",
    "title_canon_sha256": "51ed2209047382041698361ba6697e08d87228e34b39c0abd15635fd4f177e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0172",
    "kind": "arxiv",
    "version": 3
  }
}