Pith Number

pith:WMQCZFJN

pith:2017:WMQCZFJNAU3BGZDXKAGPG34GUB

not attested not anchored not stored refs pending

Bohr-Sommerfeld quantization rules revisited: the method of positive commutators

Abdelwaheb Ifa, Hanen Louati, Michel Rouleux

arxiv:1702.06758 v3 · 2017-02-22 · 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{WMQCZFJNAU3BGZDXKAGPG34GUB}

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	2026-05-18T00:19:47.675174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3202c952d0536136477500cf36f86a07ba4d19b85471f6eadb6c7af98728118

Aliases

arxiv: 1702.06758 · arxiv_version: 1702.06758v3 · doi: 10.48550/arxiv.1702.06758 · pith_short_12: WMQCZFJNAU3B · pith_short_16: WMQCZFJNAU3BGZDX · pith_short_8: WMQCZFJN

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/WMQCZFJNAU3BGZDXKAGPG34GUB \
  | 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: b3202c952d0536136477500cf36f86a07ba4d19b85471f6eadb6c7af98728118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a979e0fdf59e00dc5005f42d49aabd2ddf58eae2c8160b1746c3de1514b94d15",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-22T11:29:49Z",
    "title_canon_sha256": "bbeba114fd665621d18d922e044a5173466f424371ac26ba83d6a6b656703246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06758",
    "kind": "arxiv",
    "version": 3
  }
}