Pith Number

pith:KQU27PY7

pith:2012:KQU27PY7R67PXXPHCDA5GHC6GH

not attested not anchored not stored refs pending

WKB Analysis of PT-Symmetric Sturm-Liouville problems

Carl M. Bender, Hugh F. Jones

arxiv:1201.1234 v1 · 2012-01-05 · hep-th · 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{KQU27PY7R67PXXPHCDA5GHC6GH}

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	2026-05-18T01:58:55.401890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5429afbf1f8fbefbdde710c1d31c5e31f1323dc998445371fe1bfc40cfe796c1

Aliases

arxiv: 1201.1234 · arxiv_version: 1201.1234v1 · doi: 10.48550/arxiv.1201.1234 · pith_short_12: KQU27PY7R67P · pith_short_16: KQU27PY7R67PXXPH · pith_short_8: KQU27PY7

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/KQU27PY7R67PXXPHCDA5GHC6GH \
  | 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: 5429afbf1f8fbefbdde710c1d31c5e31f1323dc998445371fe1bfc40cfe796c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92745f91744edce82f161bb4a05c3e099bdfe839c6138ba9a2fa0b56a68457e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-01-05T17:58:50Z",
    "title_canon_sha256": "b934cf52967e62b8fb3c3c537ee9945257314efb31e8a7000c51578b215027db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1234",
    "kind": "arxiv",
    "version": 1
  }
}