Pith Number

pith:LQU2XVXB

pith:2025:LQU2XVXBBOL3YG4AFDHO2DRQHN

not attested not anchored not stored refs pending

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries

Azeem Hasan, Elias Riedel G{\aa}rding, Michele Del Zotto

arxiv:2504.18501 v2 · 2025-04-25 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQU2XVXBBOL3YG4AFDHO2DRQHN}

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.

Cited by

1 paper in Pith

The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise

Receipt and verification

First computed	2026-07-05T10:54:48.712253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c29abd6e10b97bc1b8028ceed0e303b51baf1ad4ea6bb8e7fc677fc5ac807a3

Aliases

arxiv: 2504.18501 · arxiv_version: 2504.18501v2 · doi: 10.48550/arxiv.2504.18501 · pith_short_12: LQU2XVXBBOL3 · pith_short_16: LQU2XVXBBOL3YG4A · pith_short_8: LQU2XVXB

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/LQU2XVXBBOL3YG4AFDHO2DRQHN \
  | 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: 5c29abd6e10b97bc1b8028ceed0e303b51baf1ad4ea6bb8e7fc677fc5ac807a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0268e3e2b6c5fba69513c683eb03210a7442c178a51708cefd296423c67a6d2e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-04-25T17:14:44Z",
    "title_canon_sha256": "5a7d37813b1b52002692d77df590fdea61c4c12accef6a73f47471a59b54ffbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18501",
    "kind": "arxiv",
    "version": 2
  }
}