Pith Number

pith:77SOKYWE

pith:2023:77SOKYWE4NE6K6NVBUIXJMTZ4P

not attested not anchored not stored refs pending

Koopman Spectral Linearization vs. Carleman Linearization: A Computational Comparison Study

Dongwei Shi, Xiu Yang

arxiv:2310.19078 v1 · 2023-10-29 · 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{77SOKYWE4NE6K6NVBUIXJMTZ4P}

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

2 papers in Pith

Quantum algorithms for stochastic nonlinear differential equations

Measurement-Efficient Variational Quantum Linear Solver for Carleman-Linearized Nonlinear Dynamics

Receipt and verification

First computed	2026-07-05T07:06:45.824541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe4e562c4e349e579b50d1174b279e3c1a9b506bfce46eb1ad1bf58e261cf1c

Aliases

arxiv: 2310.19078 · arxiv_version: 2310.19078v1 · doi: 10.48550/arxiv.2310.19078 · pith_short_12: 77SOKYWE4NE6 · pith_short_16: 77SOKYWE4NE6K6NV · pith_short_8: 77SOKYWE

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/77SOKYWE4NE6K6NVBUIXJMTZ4P \
  | 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: ffe4e562c4e349e579b50d1174b279e3c1a9b506bfce46eb1ad1bf58e261cf1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db0a8753851ee42fb1e10a532438c01188070c9a76c8dbb89279b441907ae66",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-10-29T17:00:23Z",
    "title_canon_sha256": "cc9cdb047039fd27a2235ef3ae26dddf20e6ee6608bd9dd2ecc3f1135af6df42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19078",
    "kind": "arxiv",
    "version": 1
  }
}