Pith Number

pith:JDBXQ37W

pith:2021:JDBXQ37WNX4RTCYCCOOQP766BQ

not attested not anchored not stored refs pending

Learning Stable Koopman Embeddings

Bowen Yi, David Rye, Fletcher Fan, Guodong Shi, Ian R. Manchester

arxiv:2110.06509 v1 · 2021-10-13 · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDBXQ37WNX4RTCYCCOOQP766BQ}

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	2026-07-05T03:22:26.768861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c3786ff66df9198b02139d07ffde0c22657e7e610add42dd3f6e0e448d872d

Aliases

arxiv: 2110.06509 · arxiv_version: 2110.06509v1 · doi: 10.48550/arxiv.2110.06509 · pith_short_12: JDBXQ37WNX4R · pith_short_16: JDBXQ37WNX4RTCYC · pith_short_8: JDBXQ37W

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/JDBXQ37WNX4RTCYCCOOQP766BQ \
  | 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: 48c3786ff66df9198b02139d07ffde0c22657e7e610add42dd3f6e0e448d872d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4556dd00ea6ec39af93bf05efa3cbf9dc6e0d9470bd8076e0ad1626217e218a1",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-13T05:44:13Z",
    "title_canon_sha256": "480493b0accd018b9a17e366cc1acebf4ab84fadf16ef714a6825d6f6f0dcaf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06509",
    "kind": "arxiv",
    "version": 1
  }
}