Pith Number

pith:LTJ3BGKI

pith:2017:LTJ3BGKIKIWUAGDFEPQKHTYOSR

not attested not anchored not stored refs pending

A geometric note on subspace updates and orthogonal matrix decompositions under rank-one modifications

Ralf Zimmermann

arxiv:1711.08235 v4 · 2017-11-22 · 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{LTJ3BGKIKIWUAGDFEPQKHTYOSR}

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	2026-05-17T23:52:08.221566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd3b09948522d40186523e0a3cf0e946aa83f2e508963ece7ae0ff9e2d24ff9

Aliases

arxiv: 1711.08235 · arxiv_version: 1711.08235v4 · doi: 10.48550/arxiv.1711.08235 · pith_short_12: LTJ3BGKIKIWU · pith_short_16: LTJ3BGKIKIWUAGDF · pith_short_8: LTJ3BGKI

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/LTJ3BGKIKIWUAGDFEPQKHTYOSR \
  | 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: 5cd3b09948522d40186523e0a3cf0e946aa83f2e508963ece7ae0ff9e2d24ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1fe5fbf2b8bbac1a1ff34a47afb447a9ecc446f0f4a81d72a759a95123b05a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-11-22T11:33:07Z",
    "title_canon_sha256": "4a7db15dc4c631c857ba54d1203b6694e26da8c81c9218915bad7ae7c61a3495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08235",
    "kind": "arxiv",
    "version": 4
  }
}