Pith Number

pith:G7P3SCMJ

pith:2021:G7P3SCMJQFY2CYUYHQMOUMZXCQ

not attested not anchored not stored refs pending

Berezinskii-Kosterlitz-Thouless phase transitions with long-range couplings

Andrea Trombettoni, Guido Giachetti, Nicolo Defenu, Stefano Ruffo

arxiv:2104.13217 v2 · 2021-04-27 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7P3SCMJQFY2CYUYHQMOUMZXCQ}

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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

Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter

Receipt and verification

First computed	2026-07-05T03:22:21.860732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37dfb909898171a162983c18ea33371414eac2b20364483c22fb62c25903231a

Aliases

arxiv: 2104.13217 · arxiv_version: 2104.13217v2 · doi: 10.48550/arxiv.2104.13217 · pith_short_12: G7P3SCMJQFY2 · pith_short_16: G7P3SCMJQFY2CYUY · pith_short_8: G7P3SCMJ

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/G7P3SCMJQFY2CYUYHQMOUMZXCQ \
  | 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: 37dfb909898171a162983c18ea33371414eac2b20364483c22fb62c25903231a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28e644344956e163db2ef3fea9cdbc175b6f8d68d1bb16711764b82b154aaf7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-04-27T14:23:24Z",
    "title_canon_sha256": "efc34d7b2e5b56757cff213b4fe95c8b82734c91cb0b5678bedc8e939abc4e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13217",
    "kind": "arxiv",
    "version": 2
  }
}