Pith Number

pith:KA5SM7YR

pith:2026:KA5SM7YRNEB7WKUAON5JQZLMEI

not attested not anchored not stored refs pending

Lattice and PT symmetries in tensor-network renormalization group: Case study of a hard-square lattice gas model

Xinliang Lyu

arxiv:2603.25492 v2 · 2026-03-26 · cond-mat.stat-mech · hep-th · physics.comp-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KA5SM7YRNEB7WKUAON5JQZLMEI}

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	2026-07-24T01:23:07.825519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503b267f116903fb2a80737a98656c2224588f10cb1b6649c5adeb373d633af2

Aliases

arxiv: 2603.25492 · arxiv_version: 2603.25492v2 · doi: 10.48550/arxiv.2603.25492 · pith_short_12: KA5SM7YRNEB7 · pith_short_16: KA5SM7YRNEB7WKUA · pith_short_8: KA5SM7YR

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/KA5SM7YRNEB7WKUAON5JQZLMEI \
  | 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: 503b267f116903fb2a80737a98656c2224588f10cb1b6649c5adeb373d633af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664fb01c8ba80c0b82a40967ae98ee991a2f048af25236234bd9ef3e459443e6",
    "cross_cats_sorted": [
      "hep-th",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-03-26T14:30:38Z",
    "title_canon_sha256": "18f1fb9eb22b71d1dcd04b670a5788f1c36d5dffb0201f888ddf766fe897ecd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.25492",
    "kind": "arxiv",
    "version": 2
  }
}