Pith Number

pith:ESJ4C6J3

pith:2012:ESJ4C6J3EUB2EIB552VDOUIYD2

not attested not anchored not stored refs pending

The Floquet Method for $PT$-symmetric Periodic Potentials

H. F. Jones

arxiv:1211.1560 v1 · 2012-11-07 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESJ4C6J3EUB2EIB552VDOUIYD2}

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	2026-05-18T03:41:20.756159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2493c1793b2503a2203deeaa3751181e941ed5c95903254bae05084eb03637c5

Aliases

arxiv: 1211.1560 · arxiv_version: 1211.1560v1 · doi: 10.48550/arxiv.1211.1560 · pith_short_12: ESJ4C6J3EUB2 · pith_short_16: ESJ4C6J3EUB2EIB5 · pith_short_8: ESJ4C6J3

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/ESJ4C6J3EUB2EIB552VDOUIYD2 \
  | 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: 2493c1793b2503a2203deeaa3751181e941ed5c95903254bae05084eb03637c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab212f709a933e5bb0a5a2cab0c6c988e7d7fdc6fbb05a2ab0297da95cd6230",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-07T14:43:03Z",
    "title_canon_sha256": "9427051360546d2b0ea28f36f1470c86efd055501e5005261c6a841440cc90fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1560",
    "kind": "arxiv",
    "version": 1
  }
}