Pith Number

pith:WRXXK4G6

pith:2017:WRXXK4G6Z273CMGJTQBEFCAAYY

not attested not anchored not stored refs pending

Resonance free regions and non-Hermitian spectral optimization for Schr\"odinger point interactions

Illya M. Karabash, Sergio Albeverio

arxiv:1708.01334 v2 · 2017-08-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRXXK4G6Z273CMGJTQBEFCAAYY}

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	2026-05-18T00:08:23.573617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46f7570decebfb130c99c02428800c62f4ae49fb0a753552d36d991bcfc0ea3

Aliases

arxiv: 1708.01334 · arxiv_version: 1708.01334v2 · doi: 10.48550/arxiv.1708.01334 · pith_short_12: WRXXK4G6Z273 · pith_short_16: WRXXK4G6Z273CMGJ · pith_short_8: WRXXK4G6

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/WRXXK4G6Z273CMGJTQBEFCAAYY \
  | 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: b46f7570decebfb130c99c02428800c62f4ae49fb0a753552d36d991bcfc0ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64b3afc577066a1dba2c35d3feb4ea6b45e9a8b99acb5ad1498c6fef5ad81a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-04T00:04:27Z",
    "title_canon_sha256": "37e98ca830eb585ad9bab42108029e6e058df187e97d0dfa0e1b248b7f22c5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01334",
    "kind": "arxiv",
    "version": 2
  }
}