Pith Number

pith:XL57ZZBC

pith:2012:XL57ZZBCBGYMTBML7KNW4P6OC6

not attested not anchored not stored refs pending

Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space

Huseyin Masum, Mutallip Tohti, Sayipjamal Dulat

arxiv:1202.2522 v1 · 2012-02-12 · 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{XL57ZZBCBGYMTBML7KNW4P6OC6}

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	2026-05-18T04:02:26.285307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafbfce42209b0c9858bfa9b6e3fce1797e78d51945550ee8ca31c3ad0ed3d67

Aliases

arxiv: 1202.2522 · arxiv_version: 1202.2522v1 · doi: 10.48550/arxiv.1202.2522 · pith_short_12: XL57ZZBCBGYM · pith_short_16: XL57ZZBCBGYMTBML · pith_short_8: XL57ZZBC

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/XL57ZZBCBGYMTBML7KNW4P6OC6 \
  | 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: bafbfce42209b0c9858bfa9b6e3fce1797e78d51945550ee8ca31c3ad0ed3d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f7bf0bb8039bc9ca49185cb76c4cd7ddaa8a99edd2ca7c8691c592c78a65b0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-12T11:57:34Z",
    "title_canon_sha256": "fbc03b9d017a1f667cddc71de4806d546571452b35387856d71bf502c476d1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2522",
    "kind": "arxiv",
    "version": 1
  }
}