Pith. sign in
Pith Number

pith:NRD37U3Y

pith:2022:NRD37U3YNRPROGVNWKMAUOS6UP
not attested not anchored not stored refs pending

Phase transitions above the upper critical dimension

Bertrand Berche, Ralph Kenna, Tim Ellis, Yurij Holovatch

arxiv:2204.04761 v2 · 2022-04-10 · cond-mat.stat-mech · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NRD37U3YNRPROGVNWKMAUOS6UP}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T04:48:47.913989Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6c47bfd3786c5f171aadb2980a3a5ea3f985f2569aa9995ccb25bf1068fc3b40

Aliases

arxiv: 2204.04761 · arxiv_version: 2204.04761v2 · doi: 10.48550/arxiv.2204.04761 · pith_short_12: NRD37U3YNRPR · pith_short_16: NRD37U3YNRPROGVN · pith_short_8: NRD37U3Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NRD37U3YNRPROGVNWKMAUOS6UP \
  | 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: 6c47bfd3786c5f171aadb2980a3a5ea3f985f2569aa9995ccb25bf1068fc3b40
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "be3de7bbc145b96dac3e2e3336abe500428f7c656e0090af75dc85fcf6a6c497",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2022-04-10T19:58:31Z",
    "title_canon_sha256": "d3df59c3ffa6612b8858f54d8fcf5c8c275a274dc7fcbbe654a42af21bf2ecfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.04761",
    "kind": "arxiv",
    "version": 2
  }
}