pith. sign in
Pith Number

pith:MCMCWVSR

pith:2009:MCMCWVSRCMRBQQYSAPV7ATD3YA
not attested not anchored not stored refs pending

Microcanonical rates, gap times, and phase space dividing surfaces

Gregory S. Ezra, Holger Waalkens, Stephen Wiggins

arxiv:0901.2721 v1 · 2009-01-18 · cond-mat.stat-mech · nlin.CD · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MCMCWVSRCMRBQQYSAPV7ATD3YA}

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 2026-05-18T02:14:56.923731Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

60982b5651132218431203ebf04c7bc031089f970d8c7fd6dcb3b744fd9da155

Aliases

arxiv: 0901.2721 · arxiv_version: 0901.2721v1 · doi: 10.48550/arxiv.0901.2721 · pith_short_12: MCMCWVSRCMRB · pith_short_16: MCMCWVSRCMRBQQYS · pith_short_8: MCMCWVSR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MCMCWVSRCMRBQQYSAPV7ATD3YA \
  | 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: 60982b5651132218431203ebf04c7bc031089f970d8c7fd6dcb3b744fd9da155
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "374127d0291b8661e92d2d09b1de9131abe1df873afa7cd1dec186e79068627c",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-01-18T18:12:02Z",
    "title_canon_sha256": "6bc4e0dc46ea41c7fef907da1651e87d1b07537a5b8481f1778e6c8c2d83193b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2721",
    "kind": "arxiv",
    "version": 1
  }
}