Pith Number

pith:CTUONAVU

pith:2004:CTUONAVUWTSPQJ2BSRXPEIWUG5

not attested not anchored not stored refs pending

Spectra of PT-Symmetric Operators and Perturbation Theory

Emanuela Caliceti, Johannes Sjoestrand, Sandro Graffi

arxiv:math-ph/0407052 v1 · 2004-07-22 · 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{CTUONAVUWTSPQJ2BSRXPEIWUG5}

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	2026-07-04T16:49:11.499845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e8e682b4b4e4f82741946ef222d4375167b2320850fab34bf239438eb42c1b

Aliases

arxiv: math-ph/0407052 · arxiv_version: math-ph/0407052v1 · doi: 10.48550/arxiv.math-ph/0407052 · pith_short_12: CTUONAVUWTSP · pith_short_16: CTUONAVUWTSPQJ2B · pith_short_8: CTUONAVU

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/CTUONAVUWTSPQJ2BSRXPEIWUG5 \
  | 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: 14e8e682b4b4e4f82741946ef222d4375167b2320850fab34bf239438eb42c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cffd5956c4e5a7b752b34a6be88b2dcc7d6541e7950ce34dd9c2436c5994f607",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-07-22T14:11:33Z",
    "title_canon_sha256": "0d2b604bc886f133d3d8620250096b29dd90f442823df0a77776ecb2dcfa352e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0407052",
    "kind": "arxiv",
    "version": 1
  }
}