Pith Number

pith:SSZDHCI7

pith:2018:SSZDHCI7E2AIYLFZTUFTRAHJTQ

not attested not anchored not stored refs pending

Kolmogorov $n$-widths for linear dynamical systems

Benjamin Unger, Serkan Gugercin

arxiv:1806.09880 v1 · 2018-06-26 · cs.SY · 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{SSZDHCI7E2AIYLFZTUFTRAHJTQ}

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	2026-05-17T23:45:58.059772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b233891f26808c2cb99d0b3880e99c2276b8c6c53caaa53b472063eeb22bf6

Aliases

arxiv: 1806.09880 · arxiv_version: 1806.09880v1 · doi: 10.48550/arxiv.1806.09880 · pith_short_12: SSZDHCI7E2AI · pith_short_16: SSZDHCI7E2AIYLFZ · pith_short_8: SSZDHCI7

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/SSZDHCI7E2AIYLFZTUFTRAHJTQ \
  | 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: 94b233891f26808c2cb99d0b3880e99c2276b8c6c53caaa53b472063eeb22bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0cf005e573d93fbef67a56a6ffbbf74ac62bb5949a4766035cf34cb865e411",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2018-06-26T09:53:19Z",
    "title_canon_sha256": "78c89ca0e79c45f20c1f1747e7a297ecc02c2cfdd1d66c63246f1ba3ebd1ff6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09880",
    "kind": "arxiv",
    "version": 1
  }
}