Pith Number

pith:ATMTY2QK

pith:2014:ATMTY2QKWEMJ7FAZYHDGM7J76Y

not attested not anchored not stored refs pending

Global stability analysis using the eigenfunctions of the Koopman operator

Alexandre Mauroy, Igor Mezic

arxiv:1408.1379 v2 · 2014-08-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATMTY2QKWEMJ7FAZYHDGM7J76Y}

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	2026-05-18T01:33:32.546908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d93c6a0ab1189f9419c1c6667d3ff62eeff1e2a51b22297771fb32459fbe18

Aliases

arxiv: 1408.1379 · arxiv_version: 1408.1379v2 · doi: 10.48550/arxiv.1408.1379 · pith_short_12: ATMTY2QKWEMJ · pith_short_16: ATMTY2QKWEMJ7FAZ · pith_short_8: ATMTY2QK

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/ATMTY2QKWEMJ7FAZYHDGM7J76Y \
  | 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: 04d93c6a0ab1189f9419c1c6667d3ff62eeff1e2a51b22297771fb32459fbe18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a44525d8b7605144b78a954008f1cf2ecdb2aebd669df06b879ec25fa84dfd53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-06T19:12:24Z",
    "title_canon_sha256": "486ebe161f047490300ad5863fef5441d69f343f54237b7bfb2e37d545ecd51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1379",
    "kind": "arxiv",
    "version": 2
  }
}