Pith Number

pith:F4UXKYKD

pith:2024:F4UXKYKDKUH2BPK3PMP6QUOXO5

not attested not anchored not stored refs pending

Noninvertible operators in one, two, and three dimensions via gauging spatially modulated symmetry

Bo Han, Hiromi Ebisu

arxiv:2409.16744 v2 · 2024-09-25 · cond-mat.str-el · hep-lat · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4UXKYKDKUH2BPK3PMP6QUOXO5}

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

1 paper in Pith

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Receipt and verification

First computed	2026-07-05T10:06:44.066694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f29756143550fa0bd5b7b1fe851d77777534f922ca238b79ca75078285d06fb

Aliases

arxiv: 2409.16744 · arxiv_version: 2409.16744v2 · doi: 10.48550/arxiv.2409.16744 · pith_short_12: F4UXKYKDKUH2 · pith_short_16: F4UXKYKDKUH2BPK3 · pith_short_8: F4UXKYKD

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/F4UXKYKDKUH2BPK3PMP6QUOXO5 \
  | 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: 2f29756143550fa0bd5b7b1fe851d77777534f922ca238b79ca75078285d06fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de1eff7fd6ef8b2766102dd09ca7d318cb21ad601b2be3f255fc58543a89751",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2024-09-25T08:52:07Z",
    "title_canon_sha256": "4ceff96f74428ef3ae17fadbaa0fd501ab148cbc13a6843caaf6717e0e424256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.16744",
    "kind": "arxiv",
    "version": 2
  }
}