pith. sign in
Pith Number

pith:HYF5B2Y6

pith:2015:HYF5B2Y6PI7YCXUSG5NTWNX3SW
not attested not anchored not stored refs pending

Ergodic Time-Reversible Chaos for Gibbs' Canonical Oscillator

Julien Clinton Sprott, Puneet Kumar Patra, William Graham Hoover

arxiv:1503.06749 v6 · 2015-03-23 · cond-mat.stat-mech · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HYF5B2Y6PI7YCXUSG5NTWNX3SW}

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 2026-05-18T01:29:54.466641Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e0bd0eb1e7a3f815e92375b3b36fb9590a71dbb336a9973a4738842e6cd5819

Aliases

arxiv: 1503.06749 · arxiv_version: 1503.06749v6 · doi: 10.48550/arxiv.1503.06749 · pith_short_12: HYF5B2Y6PI7Y · pith_short_16: HYF5B2Y6PI7YCXUS · pith_short_8: HYF5B2Y6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYF5B2Y6PI7YCXUSG5NTWNX3SW \
  | 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: 3e0bd0eb1e7a3f815e92375b3b36fb9590a71dbb336a9973a4738842e6cd5819
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "66067135bbb11e2e15bca9373f1815c313e9d5094b569efc1ccb58a8c21074cb",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-03-23T17:57:47Z",
    "title_canon_sha256": "d82467cb118f549f1471ec6e8612f2e76c15eb444671520f9c159bea2d248895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06749",
    "kind": "arxiv",
    "version": 6
  }
}