Pith Number

pith:73VIPQM5

pith:2018:73VIPQM5VQRU3MCNV3GJLHWSVO

not attested not anchored not stored refs pending

Infinite-dimensional bilinear and stochastic balanced truncation with error bounds

Carsten Hartmann, Simon Becker

arxiv:1806.05322 v2 · 2018-06-14 · math.OC · math.DS · 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{73VIPQM5VQRU3MCNV3GJLHWSVO}

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	2026-05-17T23:59:57.885874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feea87c19dac234db04daecc959ed2abb3e570d964ca0bf11c131d0d129ee790

Aliases

arxiv: 1806.05322 · arxiv_version: 1806.05322v2 · doi: 10.48550/arxiv.1806.05322 · pith_short_12: 73VIPQM5VQRU · pith_short_16: 73VIPQM5VQRU3MCN · pith_short_8: 73VIPQM5

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/73VIPQM5VQRU3MCNV3GJLHWSVO \
  | 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: feea87c19dac234db04daecc959ed2abb3e570d964ca0bf11c131d0d129ee790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc765753c283c3bc633df1fc7ac67f53410b179e79437e0a568d0a5686980d40",
    "cross_cats_sorted": [
      "math.DS",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-14T01:41:03Z",
    "title_canon_sha256": "ae342eac21d0fb320e79a82a88a08a353512c258b952c9b23aa174e2aa869f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05322",
    "kind": "arxiv",
    "version": 2
  }
}