Pith Number

pith:FWM3KUGU

pith:2026:FWM3KUGU3OZVNWKMILY6NBCBWM

not attested not anchored not stored refs pending

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies

Andreas Karch, Da-Chuan Lu, Ryan C. Spieler, Yasin F. Alam

arxiv:2607.20622 v1 · 2026-07-22 · 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{FWM3KUGU3OZVNWKMILY6NBCBWM}

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.

Receipt and verification

First computed	2026-07-24T00:23:26.077302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d99b550d4dbb356d94c42f1e68441b30825dc183afa344bbd32c1615e839f92

Aliases

arxiv: 2607.20622 · arxiv_version: 2607.20622v1 · doi: 10.48550/arxiv.2607.20622 · pith_short_12: FWM3KUGU3OZV · pith_short_16: FWM3KUGU3OZVNWKM · pith_short_8: FWM3KUGU

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/FWM3KUGU3OZVNWKMILY6NBCBWM \
  | 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: 2d99b550d4dbb356d94c42f1e68441b30825dc183afa344bbd32c1615e839f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6292492c24a25e0cffe5be9938e64e21f8fee0e27a934a8997bc78ccbba8ee57",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-22T18:00:03Z",
    "title_canon_sha256": "ac2eb50d892e15d59dc7cd117c0ddea541c97b04df9841b9de545940a1b52bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20622",
    "kind": "arxiv",
    "version": 1
  }
}