Pith Number

pith:JL7P3M6Y

pith:2015:JL7P3M6YCOEWWLEYDIJPT2SUF3

not attested not anchored not stored refs pending

Liouville ergodicity of linear multi-particle hamiltonian system with one marked particle velocity flips

A. A. Lykov, V. A. Malyshev

arxiv:1503.04531 v1 · 2015-03-16 · math-ph · math.DS · 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{JL7P3M6YCOEWWLEYDIJPT2SUF3}

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	2026-05-18T01:00:46.305708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4afefdb3d813896b2c981a12f9ea542ed01f7c66d812fd63bfdb78bbfb9bb8b6

Aliases

arxiv: 1503.04531 · arxiv_version: 1503.04531v1 · doi: 10.48550/arxiv.1503.04531 · pith_short_12: JL7P3M6YCOEW · pith_short_16: JL7P3M6YCOEWWLEY · pith_short_8: JL7P3M6Y

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/JL7P3M6YCOEWWLEYDIJPT2SUF3 \
  | 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: 4afefdb3d813896b2c981a12f9ea542ed01f7c66d812fd63bfdb78bbfb9bb8b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c331b81d483df683ad665badeb002bebf61c85e63024f7f15d8a756efa2e68",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-16T06:13:55Z",
    "title_canon_sha256": "19e08955ab99b661c01ac5cbf4574e6ed5f227b38f81f50d915928df109e2af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04531",
    "kind": "arxiv",
    "version": 1
  }
}