Pith Number

pith:G3Q5BFD2

pith:2022:G3Q5BFD2PFTJEAV5LHRNZDFGWE

not attested not anchored not stored refs pending

Obstructions to Gapped Phases from Non-Invertible Symmetries

Anuj Apte, Clay Cordova, Ho Tat Lam

arxiv:2212.14605 v1 · 2022-12-30 · hep-th · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3Q5BFD2PFTJEAV5LHRNZDFGWE}

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

9 papers in Pith

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

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT

Lectures on Generalized Symmetries

Symmetry-Enforced Fermi Surfaces

Receipt and verification

First computed	2026-07-05T06:36:26.989979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e1d0947a79669202bd59e2dc8ca6b118612621c3d06732c87b6ed06014998a

Aliases

arxiv: 2212.14605 · arxiv_version: 2212.14605v1 · doi: 10.48550/arxiv.2212.14605 · pith_short_12: G3Q5BFD2PFTJ · pith_short_16: G3Q5BFD2PFTJEAV5 · pith_short_8: G3Q5BFD2

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/G3Q5BFD2PFTJEAV5LHRNZDFGWE \
  | 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: 36e1d0947a79669202bd59e2dc8ca6b118612621c3d06732c87b6ed06014998a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aca6cd63ebf7b7f13cb54b968c07a6d80d436b1dd8f0b92c722031e185fc9ed",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-30T09:13:28Z",
    "title_canon_sha256": "c77ea43a0f1a50620ace026e0e3bfa52802b9cd1083b648fc0984469c72402d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14605",
    "kind": "arxiv",
    "version": 1
  }
}