Pith Number

pith:4SOMZEIB

pith:2015:4SOMZEIBJL2U4OID3OWZMI7GRI

not attested not anchored not stored refs pending

Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Bart Vandereycken, Daniel Kressner, Michael Steinlechner

arxiv:1508.02988 v1 · 2015-08-12 · 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{4SOMZEIBJL2U4OID3OWZMI7GRI}

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	2026-05-18T01:35:23.187706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49ccc91014af54e3903dbad9623e68a3b80e24593febffec8c30c517dad8f16

Aliases

arxiv: 1508.02988 · arxiv_version: 1508.02988v1 · doi: 10.48550/arxiv.1508.02988 · pith_short_12: 4SOMZEIBJL2U · pith_short_16: 4SOMZEIBJL2U4OID · pith_short_8: 4SOMZEIB

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/4SOMZEIBJL2U4OID3OWZMI7GRI \
  | 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: e49ccc91014af54e3903dbad9623e68a3b80e24593febffec8c30c517dad8f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff336335b4016062d16ada837dd90cd7f098d59d74d2c29b1a6b063637e95235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-12T16:46:59Z",
    "title_canon_sha256": "be1e683b5ccc6431cac0b526258d095d368c8f33f27fee6248b9b2c6b727cfe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02988",
    "kind": "arxiv",
    "version": 1
  }
}