Pith Number

pith:IFH67CWM

pith:2026:IFH67CWMRAL324VDMHRA5OUDEH

not attested not anchored not stored refs pending

Learning symplectic model reduction based on a approximation theorem of symplectic embeddings

Aiqing Zhu, Liyi Feng, Ruili Zhang, Yifa Tang, Yulin Xie

arxiv:2606.04623 v1 · 2026-06-03 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFH67CWMRAL324VDMHRA5OUDEH}

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	2026-06-04T01:09:21.832625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414fef8acc8817bd72a361e20eba8321e8770ebb3c87b14d31e7ef0caf7cefbb

Aliases

arxiv: 2606.04623 · arxiv_version: 2606.04623v1 · doi: 10.48550/arxiv.2606.04623 · pith_short_12: IFH67CWMRAL3 · pith_short_16: IFH67CWMRAL324VD · pith_short_8: IFH67CWM

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/IFH67CWMRAL324VDMHRA5OUDEH \
  | 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: 414fef8acc8817bd72a361e20eba8321e8770ebb3c87b14d31e7ef0caf7cefbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f709e3f2ed089dae840b1de6c367b098021511e023b0e3c3fe6f4ae3e9b457c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T08:58:44Z",
    "title_canon_sha256": "51c05fcad9fa64942f77d5e4b2b6543cdda6e614728220a73fafe988c6143673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04623",
    "kind": "arxiv",
    "version": 1
  }
}