Pith Number

pith:TX3O2LH3

pith:2020:TX3O2LH3UMCLMESGLMAWBKAJNH

not attested not anchored not stored refs pending

Koopman Operator, Geometry, and Learning

Igor Mezic

arxiv:2010.05377 v1 · 2020-10-12 · 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{TX3O2LH3UMCLMESGLMAWBKAJNH}

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

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error

Receipt and verification

First computed	2026-07-05T01:42:05.639143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df6ed2cfba304b612465b0160a80969eb4ceff5cb20b3a1b82bb65b6e623f06

Aliases

arxiv: 2010.05377 · arxiv_version: 2010.05377v1 · doi: 10.48550/arxiv.2010.05377 · pith_short_12: TX3O2LH3UMCL · pith_short_16: TX3O2LH3UMCLMESG · pith_short_8: TX3O2LH3

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/TX3O2LH3UMCLMESGLMAWBKAJNH \
  | 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: 9df6ed2cfba304b612465b0160a80969eb4ceff5cb20b3a1b82bb65b6e623f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5af80a57f2f157ab205655f6a4d3fa890a1e9125ae3b120cce081b1b1a4fea9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-10-12T00:33:34Z",
    "title_canon_sha256": "e7a76717b7ff1589649d5a7817d8ef1b4602f24293c0d4e082836ed1ae8c8cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.05377",
    "kind": "arxiv",
    "version": 1
  }
}