Pith Number

pith:PVRA3WAP

pith:2022:PVRA3WAPOEVBGOXKV3YRCFTCA5

not attested not anchored not stored refs pending

Introduction to topological symmetry in QFT

Daniel S. Freed

arxiv:2212.00195 v3 · 2022-12-01 · hep-th · math-ph · math.AT · math.MP · 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{PVRA3WAPOEVBGOXKV3YRCFTCA5}

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

6 papers in Pith

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

Notes on (-2)-form symmetries

Quiver Approach to Symmetry Theories

Topological symmetry in quantum field theory

Non-Invertible Anyon Condensation and Level-Rank Dualities

Receipt and verification

First computed	2026-07-05T06:28:15.525742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d620dd80f712a133aeaaef111166207575fb5f1d119b7076be6e209dc45c92f

Aliases

arxiv: 2212.00195 · arxiv_version: 2212.00195v3 · doi: 10.48550/arxiv.2212.00195 · pith_short_12: PVRA3WAPOEVB · pith_short_16: PVRA3WAPOEVBGOXK · pith_short_8: PVRA3WAP

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/PVRA3WAPOEVBGOXKV3YRCFTCA5 \
  | 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: 7d620dd80f712a133aeaaef111166207575fb5f1d119b7076be6e209dc45c92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2433e341b6dd3aa2acff60f381e3d846947bde1dc8d2bc333c46d01aac1b1993",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-01T00:41:46Z",
    "title_canon_sha256": "14d57c30065b53ee7e1c375288ed3141513ed3ff90501dd8551d2317498c146b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00195",
    "kind": "arxiv",
    "version": 3
  }
}