Pith Number

pith:JZQL5GK2

pith:2023:JZQL5GK2DJ3MZNOZYZUYTSEEIY

not attested not anchored not stored refs pending

Lecture Notes on Generalized Symmetries and Applications

Qing-Rui Wang, Ran Luo, Yi-Nan Wang

arxiv:2307.09215 v3 · 2023-07-18 · hep-th · cond-mat.str-el · 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{JZQL5GK2DJ3MZNOZYZUYTSEEIY}

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

17 papers in Pith

Non-invertible symmetries in the axiverse, and the imaginary wormholes

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries

On Quantum Aspects of 1-Form Symmetries II: Bordism, Invertible Phases, and Anomalies

On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials

Fracton Topological Holography

Receipt and verification

First computed	2026-07-05T08:58:19.875764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e60be995a1a76ccb5d9c66989c8844634d7673908bc5909c07e7ae6f933437c

Aliases

arxiv: 2307.09215 · arxiv_version: 2307.09215v3 · doi: 10.48550/arxiv.2307.09215 · pith_short_12: JZQL5GK2DJ3M · pith_short_16: JZQL5GK2DJ3MZNOZ · pith_short_8: JZQL5GK2

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/JZQL5GK2DJ3MZNOZYZUYTSEEIY \
  | 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: 4e60be995a1a76ccb5d9c66989c8844634d7673908bc5909c07e7ae6f933437c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f6f14dc21aa582300d4a7585308a9718f192a27e0d843227336bcfbace23c3",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-07-18T12:50:36Z",
    "title_canon_sha256": "3632c97885c114e644bfcc395031831e7e89c5533a775113d25fd9a34aa22f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09215",
    "kind": "arxiv",
    "version": 3
  }
}