Pith Number

pith:YRB4ABDG

pith:1999:YRB4ABDGSRNMNLXXRYS35GOBEN

not attested not anchored not stored refs pending

Analytic Form of the One-loop Vertex and of the Two-loop Fermion Propagator in 3-Dimensional Massless QED

A. Bashir, A. Kizilersu, M.R. Pennington

arxiv:hep-ph/9907418 v1 · 1999-07-19 · hep-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{YRB4ABDGSRNMNLXXRYS35GOBEN}

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.

Cited by

1 paper in Pith

Landau-Khalatnikov-Fradkin Transformations in Reduced Quantum Electrodynamics: Perturbative and Nonperturbative Dynamics of the Fermion Propagator

Receipt and verification

First computed	2026-07-04T14:31:02.624234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c443c00466945ac6aef78e25be99c12356ad2f7a84e7ff8c534d98685454e498

Aliases

arxiv: hep-ph/9907418 · arxiv_version: hep-ph/9907418v1 · doi: 10.48550/arxiv.hep-ph/9907418 · pith_short_12: YRB4ABDGSRNM · pith_short_16: YRB4ABDGSRNMNLXX · pith_short_8: YRB4ABDG

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/YRB4ABDGSRNMNLXXRYS35GOBEN \
  | 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: c443c00466945ac6aef78e25be99c12356ad2f7a84e7ff8c534d98685454e498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41446970d71059affc34881cab90ff72aa19bd9a8b8c651540a3461af323a8a9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-19T18:37:28Z",
    "title_canon_sha256": "90da15af755f0bfd1ed0cbd13a9bee98aec182ec97f1945d6467474507c2d00c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907418",
    "kind": "arxiv",
    "version": 1
  }
}