Pith Number

pith:5MPTD2QF

pith:2011:5MPTD2QFHGSKYTRUMA7JKQVJZD

not attested not anchored not stored refs pending

Geometric Ergodicity of Two--dimensional Hamiltonian systems with a Lennard--Jones--like Repulsive Potential

Ben Cooke, David P. Herzog, Jonathan C. Mattingly, Scott A. McKinley, Scott C. Schmidler

arxiv:1104.3842 v3 · 2011-04-19 · math.PR · math-ph · 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{5MPTD2QFHGSKYTRUMA7JKQVJZD}

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	2026-05-18T00:40:52.997140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1f31ea0539a4ac4e34603e9542a9c8f9be7f45fe27849b82716960f55b8362

Aliases

arxiv: 1104.3842 · arxiv_version: 1104.3842v3 · doi: 10.48550/arxiv.1104.3842 · pith_short_12: 5MPTD2QFHGSK · pith_short_16: 5MPTD2QFHGSKYTRU · pith_short_8: 5MPTD2QF

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/5MPTD2QFHGSKYTRUMA7JKQVJZD \
  | 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: eb1f31ea0539a4ac4e34603e9542a9c8f9be7f45fe27849b82716960f55b8362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fe363018458141c14596031aa8ed3b7f553cb16a6ade1a092363c4b14b25b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-19T19:22:46Z",
    "title_canon_sha256": "f5ddff1fea390e113406509a9deadabb325dc8aefab3d2a87e6550d41fdffce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3842",
    "kind": "arxiv",
    "version": 3
  }
}