Pith Number

pith:NX6BNMUL

pith:2016:NX6BNMULLBLRR6TVYNR3CEB6C4

not attested not anchored not stored refs pending

Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges

Peter Benner, Xin Du

arxiv:1602.04402 v1 · 2016-02-13 · cs.SY · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NX6BNMULLBLRR6TVYNR3CEB6C4}

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	2026-05-18T01:20:50.985411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dfc16b28b585718fa75c363b1103e170a2c2d1a940d25c6e2837e2bb9a2be3f

Aliases

arxiv: 1602.04402 · arxiv_version: 1602.04402v1 · doi: 10.48550/arxiv.1602.04402 · pith_short_12: NX6BNMULLBLR · pith_short_16: NX6BNMULLBLRR6TV · pith_short_8: NX6BNMUL

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/NX6BNMULLBLRR6TVYNR3CEB6C4 \
  | 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: 6dfc16b28b585718fa75c363b1103e170a2c2d1a940d25c6e2837e2bb9a2be3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c913cb240452a271a4a67ba6c563dd9b328797496b49708aff4393cabee678",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2016-02-13T23:29:09Z",
    "title_canon_sha256": "7e03dfe637f1d9a9020786eccd650813364177d7d78c95cb627b5e93ab418060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04402",
    "kind": "arxiv",
    "version": 1
  }
}