Pith Number

pith:KECMYVXJ

pith:2019:KECMYVXJ5YONC2XEQKI62YVKWI

not attested not anchored not stored refs pending

Model Order Reduction by Proper Orthogonal Decomposition

Carmen Gr\"a{\ss}le, Michael Hinze, Stefan Volkwein

arxiv:1906.05188 v2 · 2019-06-12 · math.NA · cs.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{KECMYVXJ5YONC2XEQKI62YVKWI}

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	2026-06-09T02:06:57.345646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5104cc56e9ee1cd16ae48291ed62aab223f57b1908b83250e4a6e500d60282ce

Aliases

arxiv: 1906.05188 · arxiv_version: 1906.05188v2 · doi: 10.48550/arxiv.1906.05188 · pith_short_12: KECMYVXJ5YON · pith_short_16: KECMYVXJ5YONC2XE · pith_short_8: KECMYVXJ

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/KECMYVXJ5YONC2XEQKI62YVKWI \
  | 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: 5104cc56e9ee1cd16ae48291ed62aab223f57b1908b83250e4a6e500d60282ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76c91422f52857e30c55cdfab21692c83d509033d688def6d52b84325d07207",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-12T15:00:01Z",
    "title_canon_sha256": "0a7623fbce165c9a114097ab8e6f7957df884a14e2933cfa85eaa23ecb23085f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05188",
    "kind": "arxiv",
    "version": 2
  }
}