Pith Number

pith:BB3Z56JD

pith:2024:BB3Z56JDF72YSCHPCBVURJRICV

not attested not anchored not stored refs pending

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

Alison Warman, Apoorv Tiwari, Daniel Pajer, Jingxiang Wu, Lakshya Bhardwaj, Sakura Schafer-Nameki

arxiv:2408.05266 v2 · 2024-08-09 · hep-th · cond-mat.str-el · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BB3Z56JDF72YSCHPCBVURJRICV}

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

Twin Algebras: Condensable Algebras beyond Anyons

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle

Receipt and verification

First computed	2026-07-05T11:59:06.779043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08779ef9232ff58908ef106b48a62815444e4f1804447204ff91b01efe3d0e21

Aliases

arxiv: 2408.05266 · arxiv_version: 2408.05266v2 · doi: 10.48550/arxiv.2408.05266 · pith_short_12: BB3Z56JDF72Y · pith_short_16: BB3Z56JDF72YSCHP · pith_short_8: BB3Z56JD

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/BB3Z56JDF72YSCHPCBVURJRICV \
  | 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: 08779ef9232ff58908ef106b48a62815444e4f1804447204ff91b01efe3d0e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4e17aaa321804b099a1eed0661a86b5b1a98ce226d067fc0d2a8adc516dde9",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-08-09T18:00:00Z",
    "title_canon_sha256": "817e6500fc713ad36053535f93d2f2d9aa940885f3f15456990956091aa9f75a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05266",
    "kind": "arxiv",
    "version": 2
  }
}