Pith Number

pith:MSKI5FDB

pith:2021:MSKI5FDBRF7MQH2HCSMUAHUO2T

not attested not anchored not stored refs pending

Topological operators, noninvertible symmetries and decomposition

E. Sharpe

arxiv:2108.13423 v3 · 2021-08-30 · 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{MSKI5FDBRF7MQH2HCSMUAHUO2T}

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

4 papers in Pith

Notes on (-2)-form symmetries

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

Non-Invertible Anyon Condensation and Level-Rank Dualities

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs

Receipt and verification

First computed	2026-07-05T08:55:29.376801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64948e9461897ec81f471499401e8ed4cc6516d6b0baea55e74e0a17211ea10a

Aliases

arxiv: 2108.13423 · arxiv_version: 2108.13423v3 · doi: 10.48550/arxiv.2108.13423 · pith_short_12: MSKI5FDBRF7M · pith_short_16: MSKI5FDBRF7MQH2H · pith_short_8: MSKI5FDB

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/MSKI5FDBRF7MQH2HCSMUAHUO2T \
  | 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: 64948e9461897ec81f471499401e8ed4cc6516d6b0baea55e74e0a17211ea10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23c9909a572a44ff2e72aa17940a2509f8de92c1731016384558c23a0b57f0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-30T18:00:00Z",
    "title_canon_sha256": "da5ab70ece92dae30bbe10f7a3a00498c2a6d289b5f48229b1eecadb85ea0825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13423",
    "kind": "arxiv",
    "version": 3
  }
}