Pith Number

pith:MOHD4ROS

pith:2011:MOHD4ROSVSVVRIPNY3WCE5DCH4

not attested not anchored not stored refs pending

The Exact Electron Propagator in a Magnetic Field as the Sum over Landau Levels on a Basis of the Dirac Equation Exact Solutions

A. A. Okrugin (Yaroslavl State (P.G. Demidov) University, A.V. Kuznetsov, Russia)

arxiv:1104.2158 v2 · 2011-04-12 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOHD4ROSVSVVRIPNY3WCE5DCH4}

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	2026-05-18T04:19:21.631759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638e3e45d2acab58a1edc6ec2274623f1df728b42dccb7a0d1c6c316675fbc92

Aliases

arxiv: 1104.2158 · arxiv_version: 1104.2158v2 · doi: 10.48550/arxiv.1104.2158 · pith_short_12: MOHD4ROSVSVV · pith_short_16: MOHD4ROSVSVVRIPN · pith_short_8: MOHD4ROS

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/MOHD4ROSVSVVRIPNY3WCE5DCH4 \
  | 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: 638e3e45d2acab58a1edc6ec2274623f1df728b42dccb7a0d1c6c316675fbc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e258e833b8caff131d8c29fd78848df9fa9e983f66635cc58662bff93aefd00a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-04-12T10:22:12Z",
    "title_canon_sha256": "8dc5d2e026698b1acaf65ad0c5df450d71665f3381f0f5cca8de7b53a351d739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2158",
    "kind": "arxiv",
    "version": 2
  }
}