Pith Number

pith:SLVLLWHX

pith:2015:SLVLLWHX5XVUULPP7BQ3HQK5VB

not attested not anchored not stored refs pending

$S$-duality of $u(1)$ gauge theory with $\theta =\pi$ on non-orientable manifolds: Applications to topological insulators and superconductors

Max A. Metlitski

arxiv:1510.05663 v1 · 2015-10-19 · hep-th · cond-mat.str-el

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLVLLWHX5XVUULPP7BQ3HQK5VB}

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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

2 papers in Pith

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

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\theta$-term in Modified Villain Formulation

Receipt and verification

First computed	2026-05-18T01:29:40.043880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92eab5d8f7edeb4a2deff861b3c15da84e0b3b143aced1914b26d6013b9cfc30

Aliases

arxiv: 1510.05663 · arxiv_version: 1510.05663v1 · doi: 10.48550/arxiv.1510.05663 · pith_short_12: SLVLLWHX5XVU · pith_short_16: SLVLLWHX5XVUULPP · pith_short_8: SLVLLWHX

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/SLVLLWHX5XVUULPP7BQ3HQK5VB \
  | 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: 92eab5d8f7edeb4a2deff861b3c15da84e0b3b143aced1914b26d6013b9cfc30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85245aa6767a7aa2d4a1a447f96d53fc9e3e62f06b119fb2705f3a210ccd3391",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-19T20:19:11Z",
    "title_canon_sha256": "9a7b01730130ecc34ed31549ddf21e4979b9f68a16fdd586f6a0835bf0f0b2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05663",
    "kind": "arxiv",
    "version": 1
  }
}