Pith Number

pith:4HP3YOZL

pith:2016:4HP3YOZL5CUMXZDPUYO3NVPKSA

not attested not anchored not stored refs pending

Gauge covariance of the fermion Schwinger-Dyson equation in QED

M.R. Pennington, Shaoyang Jia

arxiv:1610.06001 v1 · 2016-10-19 · nucl-th · 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{4HP3YOZL5CUMXZDPUYO3NVPKSA}

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

Erratum: Exact solutions to the fermion propagator Schwinger-Dyson equation in Minkowski space with on-shell renormalization for quenched QED \newline [Phys. Rev. D 96, 036021 (2017)]

Receipt and verification

First computed	2026-05-18T00:47:49.657554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1dfbc3b2be8a8cbe46fa61db6d5ea9039bd6a18b142a548bdd9f5f802a639b9

Aliases

arxiv: 1610.06001 · arxiv_version: 1610.06001v1 · doi: 10.48550/arxiv.1610.06001 · pith_short_12: 4HP3YOZL5CUM · pith_short_16: 4HP3YOZL5CUMXZDP · pith_short_8: 4HP3YOZL

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/4HP3YOZL5CUMXZDPUYO3NVPKSA \
  | 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: e1dfbc3b2be8a8cbe46fa61db6d5ea9039bd6a18b142a548bdd9f5f802a639b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c18c5b3ff4fc57e36eb4a3a0e039abfc1305fda771834b686e3dc652af95490",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2016-10-19T13:08:26Z",
    "title_canon_sha256": "6a03396e265d4e0b6cfdebd1b1e182b0db74c8e9d15dbe58b1c2bc0fb1c85c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06001",
    "kind": "arxiv",
    "version": 1
  }
}