Pith Number

pith:RJWGCTOY

pith:2024:RJWGCTOYB7QHPTOZIGUCL4GAL7

not attested not anchored not stored refs pending

Floquet Isospectrality of the Zero Potential for Discrete Periodic Schr\"odinger Operators

Cindy Zhuang, Ethan Tran, Jenna Plute, Jonah Robinson, Matthew Faust, Rodrigo Matos, Wencai Liu, Yichen Tao

arxiv:2401.09731 v1 · 2024-01-18 · math.SP · math-ph · math.CO · 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{RJWGCTOYB7QHPTOZIGUCL4GAL7}

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	2026-07-05T07:35:01.418784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a6c614dd80fe077cdd941a825f0c05fc4b9ff0d39b578c7af374341adb17642

Aliases

arxiv: 2401.09731 · arxiv_version: 2401.09731v1 · doi: 10.48550/arxiv.2401.09731 · pith_short_12: RJWGCTOYB7QH · pith_short_16: RJWGCTOYB7QHPTOZ · pith_short_8: RJWGCTOY

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/RJWGCTOYB7QHPTOZIGUCL4GAL7 \
  | 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: 8a6c614dd80fe077cdd941a825f0c05fc4b9ff0d39b578c7af374341adb17642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330d4d3692de7426b5358e73a9a7962508bc78274156c9ecc2e9ee4245c87f40",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-01-18T05:19:07Z",
    "title_canon_sha256": "5492ea9c9c601e86b70a19d77d0f91a1c14243db8b4580567310283dd41be5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09731",
    "kind": "arxiv",
    "version": 1
  }
}