Pith Number

pith:3XWLHGF7

pith:2021:3XWLHGF7EC3ZGL45PRB4NEGBVX

not attested not anchored not stored refs pending

Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation

A. A. Mironov, A. M. Fedotov

arxiv:2109.00634 v1 · 2021-09-01 · 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{3XWLHGF7EC3ZGL45PRB4NEGBVX}

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

Vacuum polarization in QED with an electromagnetic background from the lattice

Receipt and verification

First computed	2026-07-05T03:10:57.128085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddecb398bf20b7932f9d7c43c690c1add80ba56ea6c3879b28b2b390ef4c6621

Aliases

arxiv: 2109.00634 · arxiv_version: 2109.00634v1 · doi: 10.48550/arxiv.2109.00634 · pith_short_12: 3XWLHGF7EC3Z · pith_short_16: 3XWLHGF7EC3ZGL45 · pith_short_8: 3XWLHGF7

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/3XWLHGF7EC3ZGL45PRB4NEGBVX \
  | 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: ddecb398bf20b7932f9d7c43c690c1add80ba56ea6c3879b28b2b390ef4c6621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee8316704aa49060ee09536cef2ede181bec1466229f58353daf5392af79b75",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-01T22:10:16Z",
    "title_canon_sha256": "c08a5a79278113dc92a5d589164c86bc04c45b9954dffb41487774b350c18bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00634",
    "kind": "arxiv",
    "version": 1
  }
}