Pith Number

pith:MIP7JWY6

pith:2016:MIP7JWY664TLDCQAPDDSXMPXP7

not attested not anchored not stored refs pending

Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces

N. Rezaei, S. A. Alavi

arxiv:1612.05942 v1 · 2016-12-18 · hep-th · hep-ph · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIP7JWY664TLDCQAPDDSXMPXP7}

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	2026-05-18T00:46:07.768392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621ff4db1ef726b18a0078c72bb1f77fd746af95f51484c67b44f94256dddc19

Aliases

arxiv: 1612.05942 · arxiv_version: 1612.05942v1 · doi: 10.48550/arxiv.1612.05942 · pith_short_12: MIP7JWY664TL · pith_short_16: MIP7JWY664TLDCQA · pith_short_8: MIP7JWY6

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/MIP7JWY664TLDCQAPDDSXMPXP7 \
  | 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: 621ff4db1ef726b18a0078c72bb1f77fd746af95f51484c67b44f94256dddc19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c9e93b85a68a080ede8e8ae7d3ad5968eabf793de629ac067896a79cbee412",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-18T16:29:13Z",
    "title_canon_sha256": "05feadd83998b040ce59edee6e46c57d306134955ef5b8933f67413e04e6ce59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05942",
    "kind": "arxiv",
    "version": 1
  }
}