Pith Number

pith:KLXMZXNH

pith:2022:KLXMZXNHZ7EMCNKLMOLWXI6VL6

not attested not anchored not stored refs pending

Nonlinear Spectral Duality

Dong Zhang, Francesco Tudisco

arxiv:2209.06241 v1 · 2022-09-13 · math.OC · cs.NA · math.MG · math.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLXMZXNHZ7EMCNKLMOLWXI6VL6}

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.

Cited by

1 paper in Pith

Cheeger Inequalities for the Persistent Laplacian

Receipt and verification

First computed	2026-07-05T04:57:28.024131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52eeccdda7cfc8c1354b63976ba3d55fbc0ac2427814aab47a3e55bdfaf6ce59

Aliases

arxiv: 2209.06241 · arxiv_version: 2209.06241v1 · doi: 10.48550/arxiv.2209.06241 · pith_short_12: KLXMZXNHZ7EM · pith_short_16: KLXMZXNHZ7EMCNKL · pith_short_8: KLXMZXNH

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/KLXMZXNHZ7EMCNKLMOLWXI6VL6 \
  | 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: 52eeccdda7cfc8c1354b63976ba3d55fbc0ac2427814aab47a3e55bdfaf6ce59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb36aab1ee8e5ee7e4b0b59c426fd70dce51bdbb00ac3e361b1c42fe3ae9cca",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MG",
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-13T18:03:39Z",
    "title_canon_sha256": "ca6253373429871230337d9b14fdf7ed095e2b15568f81cb335fc994ba38857f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06241",
    "kind": "arxiv",
    "version": 1
  }
}