Pith Number

pith:33KD3YB2

pith:2017:33KD3YB2CZVTDIYEYZBIRLB73B

not attested not anchored not stored refs pending

The Spectrum of the Hamiltonian with a PT-symmetric Periodic Optical Potential

O. A. Veliev

arxiv:1702.00384 v3 · 2017-02-01 · math.SP · 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{33KD3YB2CZVTDIYEYZBIRLB73B}

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	2026-05-18T00:26:01.294122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded43de03a166b31a304c64288ac3fd8559b634d4d0e58f0573711ccb35d4818

Aliases

arxiv: 1702.00384 · arxiv_version: 1702.00384v3 · doi: 10.48550/arxiv.1702.00384 · pith_short_12: 33KD3YB2CZVT · pith_short_16: 33KD3YB2CZVTDIYE · pith_short_8: 33KD3YB2

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/33KD3YB2CZVTDIYEYZBIRLB73B \
  | 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: ded43de03a166b31a304c64288ac3fd8559b634d4d0e58f0573711ccb35d4818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71a23e90c687f089e8c3a19d56fcf852171bc60a5107c1c0e24a6636a21a059",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-02-01T18:25:09Z",
    "title_canon_sha256": "514ce50b770ac0deb64172f5c16e8981c34b70821a2943ab3a1a6c895e7dbe6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00384",
    "kind": "arxiv",
    "version": 3
  }
}