Pith Number

pith:DKBGNBSB

pith:2010:DKBGNBSBISHM6JXPFTKFZ2QXJB

not attested not anchored not stored refs pending

PT Symmetric Schr\"odinger Operators: Reality of the Perturbed Eigenvalues

Emanuela Caliceti, Francesco Cannata, Sandro Graffi

arxiv:1001.3656 v1 · 2010-01-20 · 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{DKBGNBSBISHM6JXPFTKFZ2QXJB}

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	2026-07-04T17:20:01.527743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a82668641448ecf26ef2cd45cea174863f5d7ef0393994c23448bb973ebeb6a

Aliases

arxiv: 1001.3656 · arxiv_version: 1001.3656v1 · doi: 10.48550/arxiv.1001.3656 · pith_short_12: DKBGNBSBISHM · pith_short_16: DKBGNBSBISHM6JXP · pith_short_8: DKBGNBSB

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/DKBGNBSBISHM6JXPFTKFZ2QXJB \
  | 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: 1a82668641448ecf26ef2cd45cea174863f5d7ef0393994c23448bb973ebeb6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76abe3e11edfe8f771bb83a1b915d0ce18e2995e3292afb4e00559578d39131f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-20T19:21:53Z",
    "title_canon_sha256": "73da9ae5a586fb1323f900d4a0f2f71a296717a25a80c7c83e4d6c13f4d539a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3656",
    "kind": "arxiv",
    "version": 1
  }
}