Pith Number

pith:Q27NXKPG

pith:2017:Q27NXKPGQSDLNOL6HUNFDWSXDH

not attested not anchored not stored refs pending

On the Spectral Equivalence of Koopman Operators through Delay Embedding

Kyoichi Sako, Takashi Hikihara, Yoshihiko Susuki

arxiv:1706.01006 v1 · 2017-06-03 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q27NXKPGQSDLNOL6HUNFDWSXDH}

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	2026-05-18T00:43:07.085379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86bedba9e68486b6b97e3d1a51da5719f5c57aa76b0e0155c18a8a000b84057a

Aliases

arxiv: 1706.01006 · arxiv_version: 1706.01006v1 · doi: 10.48550/arxiv.1706.01006 · pith_short_12: Q27NXKPGQSDL · pith_short_16: Q27NXKPGQSDLNOL6 · pith_short_8: Q27NXKPG

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/Q27NXKPGQSDLNOL6HUNFDWSXDH \
  | 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: 86bedba9e68486b6b97e3d1a51da5719f5c57aa76b0e0155c18a8a000b84057a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558df2f2e14e96cf37ac02a041089a8524f6d17996d123f9d520f7b721f40082",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-03T23:35:11Z",
    "title_canon_sha256": "08e2e344a9f28efb2a34fbe10fa2a3affae22a947e5d1bf5d9f2bd90d8923ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01006",
    "kind": "arxiv",
    "version": 1
  }
}