Pith Number

pith:KRPHLQ6I

pith:2018:KRPHLQ6ITQH7U6XTDS7T3RMK4Z

not attested not anchored not stored refs pending

Geometric properties of the Fortuin-Kasteleyn representation of the Ising model

Hao Hu, Junfeng Wang, Pengcheng Hou, Sheng Fang, Youjin Deng

arxiv:1811.03358 v1 · 2018-11-08 · 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{KRPHLQ6ITQH7U6XTDS7T3RMK4Z}

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	2026-05-17T23:46:50.048283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545e75c3c89c0ffa7af31cbf3dc58ae675fe564f8cf4bfd03cbcfbcbd87a7ebc

Aliases

arxiv: 1811.03358 · arxiv_version: 1811.03358v1 · doi: 10.48550/arxiv.1811.03358 · pith_short_12: KRPHLQ6ITQH7 · pith_short_16: KRPHLQ6ITQH7U6XT · pith_short_8: KRPHLQ6I

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/KRPHLQ6ITQH7U6XTDS7T3RMK4Z \
  | 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: 545e75c3c89c0ffa7af31cbf3dc58ae675fe564f8cf4bfd03cbcfbcbd87a7ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c377d97486de161ff2a327ddf2e10464d19f899e06011a0b7fd1779dd06c169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-11-08T11:13:14Z",
    "title_canon_sha256": "7167f327d56624592027715f82999a4cbb7225c8e8a7055d4e288961360ccba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03358",
    "kind": "arxiv",
    "version": 1
  }
}