Pith Number

pith:A7VQ463S

pith:2026:A7VQ463SQLIWIXMKC4LL4BUVPQ

not attested not anchored not stored refs pending

Lattice non-invertible symmetry from non-commuting transfer matrices

Eric Vernier, Masahito Yamazaki, Yuan Miao

arxiv:2606.25660 v1 · 2026-06-24 · cond-mat.stat-mech · cond-mat.str-el · hep-th · 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{A7VQ463SQLIWIXMKC4LL4BUVPQ}

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	2026-06-25T01:18:12.046001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07eb0e7b7282d1645d8a1716be06957c123280e70208e417d5091a3d82e14a19

Aliases

arxiv: 2606.25660 · arxiv_version: 2606.25660v1 · doi: 10.48550/arxiv.2606.25660 · pith_short_12: A7VQ463SQLIW · pith_short_16: A7VQ463SQLIWIXMK · pith_short_8: A7VQ463S

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/A7VQ463SQLIWIXMKC4LL4BUVPQ \
  | 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: 07eb0e7b7282d1645d8a1716be06957c123280e70208e417d5091a3d82e14a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7ab97c0cb1e05bc5352b5b2886394a46a6c7caf9ec6a0678154d0bd50b3cc7",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-24T10:12:44Z",
    "title_canon_sha256": "4831e5fff2c89da0321b863fcfa72bd673f996668761ece822707f9b6d6e33ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25660",
    "kind": "arxiv",
    "version": 1
  }
}