Pith Number

pith:PWT6SCTM

pith:2010:PWT6SCTMY32HBJ6AEY7CIOEROJ

not attested not anchored not stored refs pending

Riemannian optimization on tensor products of Grassmann manifolds: Applications to generalized Rayleigh-quotients

G. Dirr, O. Curtef, U. Helmke

arxiv:1005.4854 v2 · 2010-05-26 · 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{PWT6SCTMY32HBJ6AEY7CIOEROJ}

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	2026-05-18T04:07:19.956565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da7e90a6cc6f470a7c0263e243891727de417044259e6ca563d9085e51c00ef

Aliases

arxiv: 1005.4854 · arxiv_version: 1005.4854v2 · doi: 10.48550/arxiv.1005.4854 · pith_short_12: PWT6SCTMY32H · pith_short_16: PWT6SCTMY32HBJ6A · pith_short_8: PWT6SCTM

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/PWT6SCTMY32HBJ6AEY7CIOEROJ \
  | 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: 7da7e90a6cc6f470a7c0263e243891727de417044259e6ca563d9085e51c00ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f8444f3d0e4d5f5b769b47ea88a4529f714a1ce5df2d036cb9ae5837e21c2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-05-26T15:50:48Z",
    "title_canon_sha256": "635e1edcc9b47a48d550276e79ad9b085ac0ad0a2e39765a551320cdcd07eb99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4854",
    "kind": "arxiv",
    "version": 2
  }
}