Pith Number

pith:LL32MIMT

pith:2023:LL32MIMTMPL6G5AIYJNLNE6TPV

not attested not anchored not stored refs pending

When $\mathbb{Z}_2$ one-form symmetry leads to non-invertible axial symmetries

Riccardo Argurio, Romain Vandepopeliere

arxiv:2306.01414 v2 · 2023-06-02 · 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{LL32MIMTMPL6G5AIYJNLNE6TPV}

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

2 papers in Pith

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

Confinement in a finite duality cascade

Receipt and verification

First computed	2026-07-05T06:50:55.658066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af7a6219363d7e37408c25ab693d37d6645b78a228a3d8c4634071edbc11e4f

Aliases

arxiv: 2306.01414 · arxiv_version: 2306.01414v2 · doi: 10.48550/arxiv.2306.01414 · pith_short_12: LL32MIMTMPL6 · pith_short_16: LL32MIMTMPL6G5AI · pith_short_8: LL32MIMT

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/LL32MIMTMPL6G5AIYJNLNE6TPV \
  | 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: 5af7a6219363d7e37408c25ab693d37d6645b78a228a3d8c4634071edbc11e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8106f14efa4f178dcde4aa79fe611406a6f5d5aed3467fa91104cb6d3d47ae4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-06-02T10:04:56Z",
    "title_canon_sha256": "669bdf9d1ea86c9dbb0bcc5e64386b581b4599b83827b7a6ae0934b84393d5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.01414",
    "kind": "arxiv",
    "version": 2
  }
}