Pith Number

pith:K445DZUS

pith:2025:K445DZUSNWDGHSEFJVZ3I2YS5H

not attested not anchored not stored refs pending

Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II

Alison Warman, Apoorv Tiwari, Lakshya Bhardwaj, Sakura Schafer-Nameki

arxiv:2502.20440 v2 · 2025-02-27 · hep-th · cond-mat.str-el · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K445DZUSNWDGHSEFJVZ3I2YS5H}

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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

Twin Algebras: Condensable Algebras beyond Anyons

Receipt and verification

First computed	2026-07-05T10:26:15.094505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5739d1e6926d8663c8854d73b46b12e9e61aa598726e04afc640cd77e5d9072f

Aliases

arxiv: 2502.20440 · arxiv_version: 2502.20440v2 · doi: 10.48550/arxiv.2502.20440 · pith_short_12: K445DZUSNWDG · pith_short_16: K445DZUSNWDGHSEF · pith_short_8: K445DZUS

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/K445DZUSNWDGHSEFJVZ3I2YS5H \
  | 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: 5739d1e6926d8663c8854d73b46b12e9e61aa598726e04afc640cd77e5d9072f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2bc7ba70fd42776d8842ed3fb44b80014a2d3dcc80d0f0227ec1922f2cef00",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-02-27T19:00:01Z",
    "title_canon_sha256": "c98df3ab22eedd1e7e6e3e67495ede11e859407a39170d7b99667734394bead6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20440",
    "kind": "arxiv",
    "version": 2
  }
}