Pith Number

pith:Q3V5OSH5

pith:2026:Q3V5OSH53G7U56RBEMTACQ7NCW

not attested not anchored not stored refs pending

Closing Trajectories: Equation-Free Cyclic Animation via Koopman Surrogates

Peter Yichen Chen, Shixun Huang, Siyuan Chen, Yue Chang, Zhecheng Wang

arxiv:2605.23462 v1 · 2026-05-22 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3V5OSH53G7U56RBEMTACQ7NCW}

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	2026-05-25T02:01:55.361075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86ebd748fdd9bf4efa2123260143ed158dd1fa1c924b45d5065bd01288e1284f

Aliases

arxiv: 2605.23462 · arxiv_version: 2605.23462v1 · doi: 10.48550/arxiv.2605.23462 · pith_short_12: Q3V5OSH53G7U · pith_short_16: Q3V5OSH53G7U56RB · pith_short_8: Q3V5OSH5

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/Q3V5OSH53G7U56RBEMTACQ7NCW \
  | 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: 86ebd748fdd9bf4efa2123260143ed158dd1fa1c924b45d5065bd01288e1284f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02805a91b5c3adfbac197ceafcf01df3c07f0d6ad4d8a144b0333f813e049107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2026-05-22T10:23:07Z",
    "title_canon_sha256": "e9548634a2fcb609f52ccbb5d109b6763c77d0e09040a59bfc854874626f3989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23462",
    "kind": "arxiv",
    "version": 1
  }
}