Pith Number

pith:SBWIHDKV

pith:2017:SBWIHDKVQJG7KJKGZPMRR5YPFI

not attested not anchored not stored refs pending

The Fr\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition

Ron Peled, Vital Kharash

arxiv:1711.04720 v1 · 2017-11-13 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBWIHDKVQJG7KJKGZPMRR5YPFI}

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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

2 papers in Pith

A dichotomy theory for the height functions of the BKT transition

The impact of disorder and non-convex interactions on delocalisation of height functions

Receipt and verification

First computed	2026-05-18T00:30:35.848435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906c838d55824df52546cbd918f70f2a2d08f0e17bcf56af41f18fc492cd6628

Aliases

arxiv: 1711.04720 · arxiv_version: 1711.04720v1 · doi: 10.48550/arxiv.1711.04720 · pith_short_12: SBWIHDKVQJG7 · pith_short_16: SBWIHDKVQJG7KJKG · pith_short_8: SBWIHDKV

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/SBWIHDKVQJG7KJKGZPMRR5YPFI \
  | 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: 906c838d55824df52546cbd918f70f2a2d08f0e17bcf56af41f18fc492cd6628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77ca0db2085f2f29647f71566e890df0c28bfcf91404761332036778522ed8a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-13T17:34:27Z",
    "title_canon_sha256": "27d68920904df529766eada75a4228a926f0a006e05e4a731ca0e47adebafef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04720",
    "kind": "arxiv",
    "version": 1
  }
}