pith. sign in
Pith Number

pith:Q7ZCY4CA

pith:2018:Q7ZCY4CA4EL2IN532M4OX3HUQS
not attested not anchored not stored refs pending

Axion-modified photon propagator, Coulomb potential and Lamb-shift

Alina Golub, Carsten M\"uller, Selym Villalba-Ch\'avez

arxiv:1806.10940 v2 · 2018-06-28 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q7ZCY4CA4EL2IN532M4OX3HUQS}

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 2026-05-17T23:58:38.716015Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

87f22c7040e117a437bbd338ebecf484ae699e954d3eeaf3d0dee59c3949b5ec

Aliases

arxiv: 1806.10940 · arxiv_version: 1806.10940v2 · doi: 10.48550/arxiv.1806.10940 · pith_short_12: Q7ZCY4CA4EL2 · pith_short_16: Q7ZCY4CA4EL2IN53 · pith_short_8: Q7ZCY4CA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q7ZCY4CA4EL2IN532M4OX3HUQS \
  | 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: 87f22c7040e117a437bbd338ebecf484ae699e954d3eeaf3d0dee59c3949b5ec
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ce062101cbee99734754897e87abfb0ab0c2b956f7957c6ad871cdda065866bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-06-28T13:13:39Z",
    "title_canon_sha256": "2ccf734612928b3fd798cdcc6f5327a545dab82a9883c9057b007f7bc82d415a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10940",
    "kind": "arxiv",
    "version": 2
  }
}