Pith Number

pith:ZZTFKXFQ

pith:2026:ZZTFKXFQ2BSSCIWQJNPLDSBTA3

not attested not anchored not stored refs pending

Nonlinear Lissajous orbits and particular superintegrability

A. M. Escobar-Ruiz, R. Azuaje

arxiv:2606.25145 v1 · 2026-06-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZTFKXFQ2BSSCIWQJNPLDSBTA3}

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

Hamiltonian reduction from particular integrals

Receipt and verification

First computed	2026-06-25T00:18:19.241971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce66555cb0d0652122d04b5eb1c83306e10389d751c5ef4e070ef1f3c0c0cc85

Aliases

arxiv: 2606.25145 · arxiv_version: 2606.25145v1 · doi: 10.48550/arxiv.2606.25145 · pith_short_12: ZZTFKXFQ2BSS · pith_short_16: ZZTFKXFQ2BSSCIWQ · pith_short_8: ZZTFKXFQ

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/ZZTFKXFQ2BSSCIWQJNPLDSBTA3 \
  | 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: ce66555cb0d0652122d04b5eb1c83306e10389d751c5ef4e070ef1f3c0c0cc85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e62d0db1d155a46afebe5a9c2c83449976512eb83e2cba228132d9ac791cdd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-23T20:13:49Z",
    "title_canon_sha256": "2768fc44630d395bb88a78641c89ade1011153b3ccdd5b6f072b09c5693529e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25145",
    "kind": "arxiv",
    "version": 1
  }
}