Pith Number

pith:G2V2ILOZ

pith:2025:G2V2ILOZNCT7LM3WX2TSIAZG4A

not attested not anchored not stored refs pending

Persistence of the Berezinskii-Kosterlitz-Thouless transition with long-range couplings

Johannes Knolle, Josef Willsher, Luis Walther

arxiv:2511.07305 v1 · 2025-11-10 · cond-mat.stat-mech · cond-mat.quant-gas

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2V2ILOZNCT7LM3WX2TSIAZG4A}

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	2026-06-09T02:08:34.701026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36aba42dd968a7f5b376bea7240326e024e6e39e5e64eedcf87b74c9efd89967

Aliases

arxiv: 2511.07305 · arxiv_version: 2511.07305v1 · doi: 10.48550/arxiv.2511.07305 · pith_short_12: G2V2ILOZNCT7 · pith_short_16: G2V2ILOZNCT7LM3W · pith_short_8: G2V2ILOZ

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/G2V2ILOZNCT7LM3WX2TSIAZG4A \
  | 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: 36aba42dd968a7f5b376bea7240326e024e6e39e5e64eedcf87b74c9efd89967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e350dcd8d63cd03c16f3005a869cbe00f46a902696d053ce37335acf0a07166a",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-11-10T17:07:57Z",
    "title_canon_sha256": "aabc207f2f285037794e6301791fde4906a3a0c9cf35653d87ddf58aad8087f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.07305",
    "kind": "arxiv",
    "version": 1
  }
}