Pith Number

pith:FXJV37R4

pith:2021:FXJV37R4GS5SDQYYPM43X6DZQ2

not attested not anchored not stored refs pending

A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Wenjie Ji, Xiao-Gang Wen

arxiv:2106.02069 v2 · 2021-06-03 · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXJV37R4GS5SDQYYPM43X6DZQ2}

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

Algebras of order parameters in one-dimensional spin systems

Non-Invertible Duality Defects in 3+1 Dimensions

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata

Receipt and verification

First computed	2026-07-05T04:03:11.691926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd35dfe3c34bb21c3187b39bbf87986b3ef9e2521e4b0df3aab5f34343da752

Aliases

arxiv: 2106.02069 · arxiv_version: 2106.02069v2 · doi: 10.48550/arxiv.2106.02069 · pith_short_12: FXJV37R4GS5S · pith_short_16: FXJV37R4GS5SDQYY · pith_short_8: FXJV37R4

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/FXJV37R4GS5SDQYYPM43X6DZQ2 \
  | 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: 2dd35dfe3c34bb21c3187b39bbf87986b3ef9e2521e4b0df3aab5f34343da752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1fab18f72727d6c00838ca97b50459d3f7433691b725f3743ddb8540235acc6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-06-03T18:24:14Z",
    "title_canon_sha256": "bedec26a737c4f5fb4bea5ed07b537f051413124521d27c2565599bcc2099cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02069",
    "kind": "arxiv",
    "version": 2
  }
}