Pith Number

pith:PFYBSYI3

pith:2001:PFYBSYI3ZX2VFMQ3X7U6BE7EGL

not attested not anchored not stored refs pending

Spectrum of a duality-twisted Ising quantum chain

Milton Keynes), Uwe Grimm (The Open University

arxiv:hep-th/0111157 v1 · 2001-11-19 · hep-th · math-ph · 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{PFYBSYI3ZX2VFMQ3X7U6BE7EGL}

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

5 papers in Pith

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

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

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Receipt and verification

First computed	2026-07-04T14:31:43.046291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797019611bcdf552b21bbfe9e093e432f7f7f4ac2f7b06c6944671dfa3f69442

Aliases

arxiv: hep-th/0111157 · arxiv_version: hep-th/0111157v1 · doi: 10.48550/arxiv.hep-th/0111157 · pith_short_12: PFYBSYI3ZX2V · pith_short_16: PFYBSYI3ZX2VFMQ3 · pith_short_8: PFYBSYI3

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/PFYBSYI3ZX2VFMQ3X7U6BE7EGL \
  | 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: 797019611bcdf552b21bbfe9e093e432f7f7f4ac2f7b06c6944671dfa3f69442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af7d318bb2258eef782eda0f43922248dc5e1c6d8dac600a4c14f440f1b9e31",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-19T15:04:37Z",
    "title_canon_sha256": "36a924443d2e8d4662c3e1923f7c4d45d1404e8a8d239a4816654a6a3d447a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111157",
    "kind": "arxiv",
    "version": 1
  }
}