Pith Number

pith:LM3YHJLJ

pith:2019:LM3YHJLJ3TWKIK5T75E2N6OYJN

not attested not anchored not stored refs pending

On the transformations linearizing isochronous centers of Hamiltonian systems

Guangfeng Dong, Yuyi Zhang

arxiv:1906.07425 v3 · 2019-06-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LM3YHJLJ3TWKIK5T75E2N6OYJN}

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	2026-05-17T23:42:41.282990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3783a569dceca42bb3ff49a6f9d84b61af65dc7f99cf078c1aa28629c00d1d

Aliases

arxiv: 1906.07425 · arxiv_version: 1906.07425v3 · doi: 10.48550/arxiv.1906.07425 · pith_short_12: LM3YHJLJ3TWK · pith_short_16: LM3YHJLJ3TWKIK5T · pith_short_8: LM3YHJLJ

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/LM3YHJLJ3TWKIK5T75E2N6OYJN \
  | 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: 5b3783a569dceca42bb3ff49a6f9d84b61af65dc7f99cf078c1aa28629c00d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b777ff6e3820b98e666f1ab89bd2ebfe5ec5ceb45d0cb04ed9c4c206f77d53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-18T07:52:20Z",
    "title_canon_sha256": "a851863d9b0d1b1ec9eaf2f14ab958f55f7bdc7090641e98e0f33b127b30df1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07425",
    "kind": "arxiv",
    "version": 3
  }
}