Pith Number

pith:A6AK6W7C

pith:2018:A6AK6W7CFNS6FP2TBDO6P2VRH3

not attested not anchored not stored refs pending

Three types of discrete energy eigenvalues in complex PT-symmetric scattering potentials

Dona Ghosh, Sachin Kumar, Zafar Ahmed

arxiv:1806.06578 v4 · 2018-06-18 · quant-ph · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6AK6W7CFNS6FP2TBDO6P2VRH3}

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	2026-05-18T00:03:46.602199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0780af5be22b65e2bf5308dde7eab13efa807b7277943a455d6ea3b1209f35cd

Aliases

arxiv: 1806.06578 · arxiv_version: 1806.06578v4 · doi: 10.48550/arxiv.1806.06578 · pith_short_12: A6AK6W7CFNS6 · pith_short_16: A6AK6W7CFNS6FP2T · pith_short_8: A6AK6W7C

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/A6AK6W7CFNS6FP2TBDO6P2VRH3 \
  | 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: 0780af5be22b65e2bf5308dde7eab13efa807b7277943a455d6ea3b1209f35cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3b3bb167244641d37a28eb14ca59c1169652c4f47b8ca5e496db9a5482261c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-06-18T10:06:52Z",
    "title_canon_sha256": "9c664caf3446a8f35c86c7117d42383b39019ef967c3fa879ab001a4ce594743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06578",
    "kind": "arxiv",
    "version": 4
  }
}