Pith Number

pith:OI47KKZ7

pith:2018:OI47KKZ7ZWW5H7W6OSKDUOZQET

not attested not anchored not stored refs pending

The one dimensional semi-classical Bogoliubov-de Gennes Hamiltonian with PT symmetry: generalized Bohr-Sommerfeld quantization rules

Abdelwaheb Ifa, Michel Rouleux

arxiv:1812.03323 v1 · 2018-12-08 · 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{OI47KKZ7ZWW5H7W6OSKDUOZQET}

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	2026-05-17T23:45:32.174219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7239f52b3fcdadd3fede74943a3b3024f6c6aef2489d2349dfaf9e14e861a557

Aliases

arxiv: 1812.03323 · arxiv_version: 1812.03323v1 · doi: 10.48550/arxiv.1812.03323 · pith_short_12: OI47KKZ7ZWW5 · pith_short_16: OI47KKZ7ZWW5H7W6 · pith_short_8: OI47KKZ7

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/OI47KKZ7ZWW5H7W6OSKDUOZQET \
  | 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: 7239f52b3fcdadd3fede74943a3b3024f6c6aef2489d2349dfaf9e14e861a557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab349eefe5c1dca0b93cd808697bb61ac5bd6802d08d14c9e3ea97ffb701f76e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-08T14:11:36Z",
    "title_canon_sha256": "c03f713afa3384e7abee9cd22df748b045d9a6447ff80d3757aacea3f0ac720c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03323",
    "kind": "arxiv",
    "version": 1
  }
}