Pith Number

pith:QES4JHDM

pith:2017:QES4JHDMF3OQAPFW7F4GBMWR2I

not attested not anchored not stored refs pending

Low-rank updates of matrix functions

Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer

arxiv:1707.03045 v1 · 2017-07-10 · math.NA · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QES4JHDMF3OQAPFW7F4GBMWR2I}

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	2026-05-18T00:40:34.507344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8125c49c6c2edd003cb6f97860b2d1d21f3bb4a9fe1e471883b5593a8911fd61

Aliases

arxiv: 1707.03045 · arxiv_version: 1707.03045v1 · doi: 10.48550/arxiv.1707.03045 · pith_short_12: QES4JHDMF3OQ · pith_short_16: QES4JHDMF3OQAPFW · pith_short_8: QES4JHDM

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/QES4JHDMF3OQAPFW7F4GBMWR2I \
  | 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: 8125c49c6c2edd003cb6f97860b2d1d21f3bb4a9fe1e471883b5593a8911fd61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa923e0508ed9893140ccae276def1b33bfdeaa12ada510c56a88e035994c9de",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-10T20:08:48Z",
    "title_canon_sha256": "6919a52ed2914e09b14408e04807acf47dad8d8ca2d9fe0d5e3e71257cb107a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03045",
    "kind": "arxiv",
    "version": 1
  }
}