Pith Number

pith:WOECZQDS

pith:2022:WOECZQDSK23XX47ERN66CZV2UH

not attested not anchored not stored refs pending

Kolmogorov's Theorem for Degenerate Hamiltonian Systems with Continuous Parameters

Hongkun Zhang, Jiayin Du, Yong Li

arxiv:2206.05461 v2 · 2022-06-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOECZQDSK23XX47ERN66CZV2UH}

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	2026-07-05T09:00:52.917301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3882cc07256b77bf3e48b7de166baa1fa39692cc8211722683e2c9e69ee6589

Aliases

arxiv: 2206.05461 · arxiv_version: 2206.05461v2 · doi: 10.48550/arxiv.2206.05461 · pith_short_12: WOECZQDSK23X · pith_short_16: WOECZQDSK23XX47E · pith_short_8: WOECZQDS

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/WOECZQDSK23XX47ERN66CZV2UH \
  | 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: b3882cc07256b77bf3e48b7de166baa1fa39692cc8211722683e2c9e69ee6589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0464b962fd95455707cde16f8d4e156271adf9d839ea616c7cc967bc34d79b42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-06-11T08:24:51Z",
    "title_canon_sha256": "2b6eb419bbddc8a751ea01993be71534d3302feba57c15a1c702917e12a8c21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05461",
    "kind": "arxiv",
    "version": 2
  }
}