pith. sign in
Pith Number

pith:JL2E5SSS

pith:2012:JL2E5SSSBYZYTAKLDJ7GVJDJMB
not attested not anchored not stored refs pending

Macroscopic diffusion from a Hamilton-like dynamics

Raphael Lefevere

arxiv:1211.0608 v2 · 2012-11-03 · math-ph · cond-mat.stat-mech · math.MP · math.PR · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JL2E5SSSBYZYTAKLDJ7GVJDJMB}

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 2026-05-18T01:53:26.343156Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4af44eca520e3389814b1a7e6aa4696078c5c4433c97055639f59ccef33740c4

Aliases

arxiv: 1211.0608 · arxiv_version: 1211.0608v2 · doi: 10.48550/arxiv.1211.0608 · pith_short_12: JL2E5SSSBYZY · pith_short_16: JL2E5SSSBYZYTAKL · pith_short_8: JL2E5SSS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JL2E5SSSBYZYTAKLDJ7GVJDJMB \
  | 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: 4af44eca520e3389814b1a7e6aa4696078c5c4433c97055639f59ccef33740c4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e62e594634fd330e5853ddcdc0708c66e9c9c68166eb9e8ade65663dde3efca2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-03T10:56:21Z",
    "title_canon_sha256": "cb3ffac79ce87a29136abd2f1dc298fdaca57f68355581a80917c7b3acfd7f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0608",
    "kind": "arxiv",
    "version": 2
  }
}