Pith Number

pith:LKP3QFPR

pith:2026:LKP3QFPR2AV2INMUAUVAIIMB5F

not attested not anchored not stored refs pending

Non-invertible symmetries and modular invariance in lattice models

Yacine Ikhlef

arxiv:2606.31313 v1 · 2026-06-30 · math-ph · cond-mat.stat-mech · hep-th · 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{LKP3QFPR2AV2INMUAUVAIIMB5F}

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	2026-07-01T01:17:58.892981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9fb815f1d02ba43594052a042181e95a16d8cdd7612162750fe47496f4025a

Aliases

arxiv: 2606.31313 · arxiv_version: 2606.31313v1 · doi: 10.48550/arxiv.2606.31313 · pith_short_12: LKP3QFPR2AV2 · pith_short_16: LKP3QFPR2AV2INMU · pith_short_8: LKP3QFPR

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/LKP3QFPR2AV2INMUAUVAIIMB5F \
  | 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: 5a9fb815f1d02ba43594052a042181e95a16d8cdd7612162750fe47496f4025a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bec5ae0bd7c5b3fc21e05d225449f056e3463b92926015d1a2cdac9d4656d8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-30T08:23:11Z",
    "title_canon_sha256": "fde7673c5048543a875614394cfd5433462deb05469e540a7cc0dbcea764fb3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31313",
    "kind": "arxiv",
    "version": 1
  }
}