Pith Number

pith:HWKVYX5H

pith:2019:HWKVYX5HT6X2SSBHRPOPYXV2JG

not attested not anchored not stored refs pending

Logarithmic variance for the height function of square-ice

Aran Raoufi, Benoit Laslier, Gourab Ray, Hugo Duminil-Copin, Matan Harel

arxiv:1911.00092 v2 · 2019-10-31 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWKVYX5HT6X2SSBHRPOPYXV2JG}

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.

Cited by

1 paper in Pith

Long-range order in discrete spin systems

Receipt and verification

First computed	2026-07-05T03:52:49.134849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d955c5fa79fafa948278bdcfc5eba4983773fa0948bff822a42dffd89450ada

Aliases

arxiv: 1911.00092 · arxiv_version: 1911.00092v2 · doi: 10.48550/arxiv.1911.00092 · pith_short_12: HWKVYX5HT6X2 · pith_short_16: HWKVYX5HT6X2SSBH · pith_short_8: HWKVYX5H

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/HWKVYX5HT6X2SSBHRPOPYXV2JG \
  | 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: 3d955c5fa79fafa948278bdcfc5eba4983773fa0948bff822a42dffd89450ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932a96a449e26c97dc51c32117bf4fef3272dce8ee366448797fd548284b60e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-10-31T20:26:55Z",
    "title_canon_sha256": "8bf8be1e40fb06b2a55aabddf9b0c460959087dedb0a4badffb41e1df0bec87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.00092",
    "kind": "arxiv",
    "version": 2
  }
}