Pith Number

pith:LIGTKSEB

pith:2015:LIGTKSEB4Z5KODFKMMB2SPNOXD

not attested not anchored not stored refs pending

Kolmogorov's Theorem for Low-Dimensional Invariant Tori of Hamiltonian Systems

Ivan Kuznetsov, Pavel Plotnikov

arxiv:1506.00383 v1 · 2015-06-01 · 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{LIGTKSEB4Z5KODFKMMB2SPNOXD}

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	2026-05-18T01:59:54.705888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0d354881e67aa70caa6303a93daeb8f33af3e70ef235dc5dfc362b6017a23e

Aliases

arxiv: 1506.00383 · arxiv_version: 1506.00383v1 · doi: 10.48550/arxiv.1506.00383 · pith_short_12: LIGTKSEB4Z5K · pith_short_16: LIGTKSEB4Z5KODFK · pith_short_8: LIGTKSEB

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/LIGTKSEB4Z5KODFKMMB2SPNOXD \
  | 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: 5a0d354881e67aa70caa6303a93daeb8f33af3e70ef235dc5dfc362b6017a23e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e85d79400fd579b34e2e2f1f1a56835e11b42c8c7bf01d1b26481f57fedef54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-01T08:30:25Z",
    "title_canon_sha256": "a5394d3c654703ffe01857bae6baa649531118513df86f577b0d1e8467cbc17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00383",
    "kind": "arxiv",
    "version": 1
  }
}