pith. sign in
Pith Number

pith:WVAMK2ZB

pith:2010:WVAMK2ZBCTZNC3HNM46VHGMH27
not attested not anchored not stored refs pending

Coupled coarse graining and Markov Chain Monte Carlo for lattice systems

Evangelia Kalligiannaki, Markos A. Katsoulakis, Petr Plechac

arxiv:1006.3781 v1 · 2010-06-18 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WVAMK2ZBCTZNC3HNM46VHGMH27}

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 2026-06-03T23:06:38.700667Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b540c56b2114f2d16ced673d539987d7f4b130d1d705fff43fee2c2b6aa7174f

Aliases

arxiv: 1006.3781 · arxiv_version: 1006.3781v1 · doi: 10.48550/arxiv.1006.3781 · pith_short_12: WVAMK2ZBCTZN · pith_short_16: WVAMK2ZBCTZNC3HN · pith_short_8: WVAMK2ZB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WVAMK2ZBCTZNC3HNM46VHGMH27 \
  | 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: b540c56b2114f2d16ced673d539987d7f4b130d1d705fff43fee2c2b6aa7174f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dd4d3f771e4cd5d7688bdb8be420e967c5700834caa4b378ed9916d4339afb13",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-06-18T19:37:08Z",
    "title_canon_sha256": "0cb5bedae19588accf43a016789bcc131247dd5ddb3d0cef1df41285126f7b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3781",
    "kind": "arxiv",
    "version": 1
  }
}