Pith Number

pith:72PF4CU2

pith:2021:72PF4CU2XBT5LESJ6HBNCZSZNH

not attested not anchored not stored refs pending

Non-Invertible Global Symmetries and Completeness of the Spectrum

Ben Heidenreich, Irene Valenzuela, Jacob McNamara, Matthew Reece, Miguel Montero, Tom Rudelius

arxiv:2104.07036 v2 · 2021-04-14 · 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{72PF4CU2XBT5LESJ6HBNCZSZNH}

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

21 papers in Pith

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

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics

On Thermodynamics of Charged Black Holes, Swampland, and Dark Matter

EFTs with Symmetric Moduli Spaces: the Landscape and the Swampland

Receipt and verification

First computed	2026-07-05T03:23:09.509441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9e5e0a9ab867d59249f1c2d1665969ff2fb6ae27095c98852129cb2ac339a3

Aliases

arxiv: 2104.07036 · arxiv_version: 2104.07036v2 · doi: 10.48550/arxiv.2104.07036 · pith_short_12: 72PF4CU2XBT5 · pith_short_16: 72PF4CU2XBT5LESJ · pith_short_8: 72PF4CU2

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/72PF4CU2XBT5LESJ6HBNCZSZNH \
  | 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: fe9e5e0a9ab867d59249f1c2d1665969ff2fb6ae27095c98852129cb2ac339a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc6bbe36ce5b518f5e4961dac17b0590cbbc8030ebb7b35bdf7692c0767615a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-04-14T18:00:01Z",
    "title_canon_sha256": "dcc4e1e8804aaaff118e0056db6d2ab1df4600c791d817fb255491e88b7bfffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07036",
    "kind": "arxiv",
    "version": 2
  }
}