Pith Number

pith:NKCPYXRM

pith:2026:NKCPYXRMLWRO2JU2PT2LT7OPMR

not attested not anchored not stored refs pending

Residual Pseudospectra Reveal a Physics-Informed Koopman Backbone for Tropical Pacific Variability and ENSO Prediction

Antonio Navarra, Matthew J. Colbrook, Paula Lorenzo-Sanchez

arxiv:2606.09369 v1 · 2026-06-08 · math.NA · cs.NA · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKCPYXRMLWRO2JU2PT2LT7OPMR}

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	2026-06-09T02:08:18.330047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a84fc5e2c5da2ed269a7cf4b9fdcf644480ba7ceb990548655c23aecc48a7be

Aliases

arxiv: 2606.09369 · arxiv_version: 2606.09369v1 · doi: 10.48550/arxiv.2606.09369 · pith_short_12: NKCPYXRMLWRO · pith_short_16: NKCPYXRMLWRO2JU2 · pith_short_8: NKCPYXRM

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/NKCPYXRMLWRO2JU2PT2LT7OPMR \
  | 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: 6a84fc5e2c5da2ed269a7cf4b9fdcf644480ba7ceb990548655c23aecc48a7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4970518ce0aba788114a42cee674dcc8a594b565c1c21b12f766a87c5d9d2c4a",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-08T11:45:45Z",
    "title_canon_sha256": "bb8023e05db1f9a3a9ffafc803759a7b595fdbdc9afbd465b838f31a86ecab3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09369",
    "kind": "arxiv",
    "version": 1
  }
}