Pith Number

pith:AR2YOTDI

pith:1997:AR2YOTDI3UYJKT6DZOXU2VCS3V

not attested not anchored not stored refs pending

The non-perturbative three-point vertex in massless quenched QED and perturbation theory constraints

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

arxiv:hep-ph/9707421 v1 · 1997-07-22 · 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{AR2YOTDI3UYJKT6DZOXU2VCS3V}

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 Quantum Electrodynamics: For Perturbation Theory and Dynamical Mass Generation

Receipt and verification

First computed	2026-07-04T16:05:08.816172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0475874c68dd30954fc3cbaf4d5452dd7cc4e53e1bb35a1c41d9a81e196b3a6a

Aliases

arxiv: hep-ph/9707421 · arxiv_version: hep-ph/9707421v1 · doi: 10.48550/arxiv.hep-ph/9707421 · pith_short_12: AR2YOTDI3UYJ · pith_short_16: AR2YOTDI3UYJKT6D · pith_short_8: AR2YOTDI

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/AR2YOTDI3UYJKT6DZOXU2VCS3V \
  | 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: 0475874c68dd30954fc3cbaf4d5452dd7cc4e53e1bb35a1c41d9a81e196b3a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f435ef5af19a823c9e44d3f1529e58c399d39353eeed00c1fb8da4c1370525",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-07-22T09:32:54Z",
    "title_canon_sha256": "2c1c1b7ff424871ccc4b3892e9dd4127717a0f6c05c2763a0a478339fcfe83f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9707421",
    "kind": "arxiv",
    "version": 1
  }
}