Pith Number

pith:LR4Z66RG

pith:2026:LR4Z66RGOXEWC2EQYKSDIVXRID

not attested not anchored not stored refs pending

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals

Haruki Watanabe, Weiguang Cao

arxiv:2607.24231 v1 · 2026-07-27 · cond-mat.str-el · cond-mat.other · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LR4Z66RGOXEWC2EQYKSDIVXRID}

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	2026-07-28T02:23:52.418064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c799f7a2675c9616890c2a43456f140f0ccc46ddf57457138a9759f5c256869

Aliases

arxiv: 2607.24231 · arxiv_version: 2607.24231v1 · doi: 10.48550/arxiv.2607.24231 · pith_short_12: LR4Z66RGOXEW · pith_short_16: LR4Z66RGOXEWC2EQ · pith_short_8: LR4Z66RG

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/LR4Z66RGOXEWC2EQYKSDIVXRID \
  | 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: 5c799f7a2675c9616890c2a43456f140f0ccc46ddf57457138a9759f5c256869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e1802313e7cd8fb67effbe736a27b1ebea8f84b66e23f2ae489c428356a0d2",
    "cross_cats_sorted": [
      "cond-mat.other",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-27T10:07:24Z",
    "title_canon_sha256": "013677203a9522fa79b6aca365021bcfd9bc47cb3fa9a3712625856dbd9c96ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24231",
    "kind": "arxiv",
    "version": 1
  }
}