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Pith Number

pith:PD2R3WVK

pith:2001:PD2R3WVKBZB3XWBOZAIPIWHDGJ
not attested not anchored not stored refs pending

Critical behaviour of the Ginzburg-Landau model in the type II region

A. Rajantie, K. Kajantie, K. Rummukainen, M. Laine, T. Neuhaus

arxiv:hep-lat/0110062 v1 · 2001-10-12 · hep-lat

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PD2R3WVKBZB3XWBOZAIPIWHDGJ}

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 2026-05-18T01:39:14.978108Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78f51ddaaa0e43bbd82ec810f458e3324c96044b9c9e11e2fde5dc84f410acd0

Aliases

arxiv: hep-lat/0110062 · arxiv_version: hep-lat/0110062v1 · doi: 10.48550/arxiv.hep-lat/0110062 · pith_short_12: PD2R3WVKBZB3 · pith_short_16: PD2R3WVKBZB3XWBO · pith_short_8: PD2R3WVK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PD2R3WVKBZB3XWBOZAIPIWHDGJ \
  | 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: 78f51ddaaa0e43bbd82ec810f458e3324c96044b9c9e11e2fde5dc84f410acd0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8b9649a0bb6c2234f48ce8c02db90dc3388c1d11e6871c4f692002b93a65cc65",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "2001-10-12T14:13:10Z",
    "title_canon_sha256": "b7edc7c769c832a4c022efb6923c35673821bbd0a3dac2dec03c15c50f48b84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/0110062",
    "kind": "arxiv",
    "version": 1
  }
}