Pith Number

pith:GMDEUM7P

pith:2018:GMDEUM7PHWTVHRJ2PBIPE4X6JS

not attested not anchored not stored refs pending

On the singular value decomposition of n-fold integration operators

Bernd Hofmann, Christoph Koutschan, Ronny Ramlau

arxiv:1811.11642 v1 · 2018-11-28 · math.NA · cs.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMDEUM7PHWTVHRJ2PBIPE4X6JS}

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	2026-06-04T20:13:43.972694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33064a33ef3da753c53a7850f272fe4c893589c6418c92baa74f04a074b99ae2

Aliases

arxiv: 1811.11642 · arxiv_version: 1811.11642v1 · doi: 10.48550/arxiv.1811.11642 · pith_short_12: GMDEUM7PHWTV · pith_short_16: GMDEUM7PHWTVHRJ2 · pith_short_8: GMDEUM7P

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/GMDEUM7PHWTVHRJ2PBIPE4X6JS \
  | 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: 33064a33ef3da753c53a7850f272fe4c893589c6418c92baa74f04a074b99ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0681a137fbc57f590798e29c1fcbdf5034a59108a151a35fe957e62f193fcb3c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-28T16:02:58Z",
    "title_canon_sha256": "d38ad428a4c32807ba0eb70d374e6d50c5ecc94e8e203eed63df7790d2f7d226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11642",
    "kind": "arxiv",
    "version": 1
  }
}