pith. sign in
Pith Number

pith:6MH5AXHU

pith:2019:6MH5AXHUNAB4OMCVZMVGQB6KQQ
not attested not anchored not stored refs pending

Statistical mechanics of systems with long-range interactions and negative absolute temperature

Angelo Vulpiani, Fabio Miceli, Marco Baldovin

arxiv:1904.13249 v1 · 2019-04-30 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6MH5AXHUNAB4OMCVZMVGQB6KQQ}

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 2026-05-17T23:47:21.819726Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f30fd05cf46803c73055cb2a6807ca8401e12c44def3ec529c9560fe796b9338

Aliases

arxiv: 1904.13249 · arxiv_version: 1904.13249v1 · doi: 10.48550/arxiv.1904.13249 · pith_short_12: 6MH5AXHUNAB4 · pith_short_16: 6MH5AXHUNAB4OMCV · pith_short_8: 6MH5AXHU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6MH5AXHUNAB4OMCVZMVGQB6KQQ \
  | 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: f30fd05cf46803c73055cb2a6807ca8401e12c44def3ec529c9560fe796b9338
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "38c65a2dc86e9193434be477b093e2aeee84b13498576525fca6aa1651e9ac51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-04-30T13:51:31Z",
    "title_canon_sha256": "af5213b2a07761ac80ec8c5d9956a82124813b3df2a544d4e5cf018f1820c2ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13249",
    "kind": "arxiv",
    "version": 1
  }
}