Pith Number

pith:UUZJMG2J

pith:2012:UUZJMG2JKCUNDU6UPL42QBJCVO

not attested not anchored not stored refs pending

The Liouville-type theorem for integrable Hamiltonian systems with incomplete flows

Elena A. Kudryavtseva

arxiv:1203.5455 v2 · 2012-03-24 · math.DG · math.CV · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUZJMG2JKCUNDU6UPL42QBJCVO}

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	2026-05-18T01:23:10.738333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a532961b4950a8d1d3d47af9a80522aba6a82f03fc410a6b1be5f3eb9c4df4e4

Aliases

arxiv: 1203.5455 · arxiv_version: 1203.5455v2 · doi: 10.48550/arxiv.1203.5455 · pith_short_12: UUZJMG2JKCUN · pith_short_16: UUZJMG2JKCUNDU6U · pith_short_8: UUZJMG2J

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/UUZJMG2JKCUNDU6UPL42QBJCVO \
  | 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: a532961b4950a8d1d3d47af9a80522aba6a82f03fc410a6b1be5f3eb9c4df4e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c49258f37f8d04730e6a5db1bc81af56425d1259e4d5d4ab65256c1a1bff3a1",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-24T22:37:07Z",
    "title_canon_sha256": "af09efc86857ae93d984799c783dc1af24de70e4c4e8113a82330c8de97319cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5455",
    "kind": "arxiv",
    "version": 2
  }
}