Pith Number

pith:ARIIYGCL

pith:2018:ARIIYGCLBBF5QZ6WRECYNLANAW

not attested not anchored not stored refs pending

Cross-Gramian-Based Dominant Subspaces

Christian Himpe, Peter Benner

arxiv:1809.08066 v4 · 2018-09-21 · math.OC · cs.NA · cs.SY · eess.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{ARIIYGCLBBF5QZ6WRECYNLANAW}

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	2026-06-04T20:13:22.220443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04508c184b084bd867d6890586ac0d0582ae485cd210dc8c034259776f3ae047

Aliases

arxiv: 1809.08066 · arxiv_version: 1809.08066v4 · doi: 10.48550/arxiv.1809.08066 · pith_short_12: ARIIYGCLBBF5 · pith_short_16: ARIIYGCLBBF5QZ6W · pith_short_8: ARIIYGCL

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/ARIIYGCLBBF5QZ6WRECYNLANAW \
  | 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: 04508c184b084bd867d6890586ac0d0582ae485cd210dc8c034259776f3ae047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1efbb7db1ad51c4cdcd5eb7427f2eb9507389eb812d719af2d3b9d9501ee7da7",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.SY",
      "eess.SY",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-21T12:44:49Z",
    "title_canon_sha256": "92f129735417620c48f0c877dfe129d343398134ad64696557bbdcce8baacd74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08066",
    "kind": "arxiv",
    "version": 4
  }
}