Pith Number

pith:DM4OAQKD

pith:2018:DM4OAQKDOHUYRUFOL26RI6DG6F

not attested not anchored not stored refs pending

Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect

Israel Klich, Marija Vucelja

arxiv:1812.11962 v2 · 2018-12-31 · math-ph · cond-mat.stat-mech · 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{DM4OAQKDOHUYRUFOL26RI6DG6F}

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	2026-05-17T23:54:38.904476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b38e0414371e988d0ae5ebd147866f17dcf0bc1fd5dcc94ceb07a7b09be61f0

Aliases

arxiv: 1812.11962 · arxiv_version: 1812.11962v2 · doi: 10.48550/arxiv.1812.11962 · pith_short_12: DM4OAQKDOHUY · pith_short_16: DM4OAQKDOHUYRUFO · pith_short_8: DM4OAQKD

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/DM4OAQKDOHUYRUFOL26RI6DG6F \
  | 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: 1b38e0414371e988d0ae5ebd147866f17dcf0bc1fd5dcc94ceb07a7b09be61f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "767dadc88d5bc5ddd6ebc9dd184e4884f60f797136f8cf5d80777468ca06aa9c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-31T18:55:54Z",
    "title_canon_sha256": "ffb7c3368284cb4a5e5e2cfe71a24f7beffbda50d161b43bf142e5fa331bb12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11962",
    "kind": "arxiv",
    "version": 2
  }
}