Pith Number

pith:2Q7MOCDQ

pith:2026:2Q7MOCDQQTS3RE6ZI7DI6256EJ

not attested not anchored not stored refs pending

Hard-Region Fermion Self-Energy and Fermion--Photon Vertex in Thermal QED through Two Loops

Ali Hataei

arxiv:2606.27137 v1 · 2026-06-25 · 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{2Q7MOCDQQTS3RE6ZI7DI6256EJ}

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	2026-06-26T01:16:11.279606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d43ec7087084e5b893d947c68f6bbe22533d7273177eea6c462cb1a6861a908f

Aliases

arxiv: 2606.27137 · arxiv_version: 2606.27137v1 · doi: 10.48550/arxiv.2606.27137 · pith_short_12: 2Q7MOCDQQTS3 · pith_short_16: 2Q7MOCDQQTS3RE6Z · pith_short_8: 2Q7MOCDQ

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/2Q7MOCDQQTS3RE6ZI7DI6256EJ \
  | 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: d43ec7087084e5b893d947c68f6bbe22533d7273177eea6c462cb1a6861a908f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d101dabafc032237b627c65dc4c2d91e56c207a2136e6ebe4902a1e0dc8d578a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-25T15:12:17Z",
    "title_canon_sha256": "6ed5111060960470e61a12b62325868be944d31a7a226f91c8d37a47dd20c3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27137",
    "kind": "arxiv",
    "version": 1
  }
}