pith. sign in
Pith Number

pith:Y7F4PZIH

pith:2011:Y7F4PZIHNMRI2FFX7TQTLXG2MR
not attested not anchored not stored refs pending

Second order photon loops at finite temperature and charge renormalization

Mahnaz Q. Haseeb, Samina S. Masood

arxiv:1110.3447 v2 · 2011-10-16 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y7F4PZIHNMRI2FFX7TQTLXG2MR}

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 2026-05-18T03:10:37.600982Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c7cbc7e5076b228d14b7fce135dcda64511fbf21268b440220352ef8b3698fbb

Aliases

arxiv: 1110.3447 · arxiv_version: 1110.3447v2 · doi: 10.48550/arxiv.1110.3447 · pith_short_12: Y7F4PZIHNMRI · pith_short_16: Y7F4PZIHNMRI2FFX · pith_short_8: Y7F4PZIH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y7F4PZIHNMRI2FFX7TQTLXG2MR \
  | 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: c7cbc7e5076b228d14b7fce135dcda64511fbf21268b440220352ef8b3698fbb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "37a329072f3ebb2cdd9b41f322c8e7388391a7e833bffc816ca4cc7e827c2fc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-16T01:47:55Z",
    "title_canon_sha256": "2fb4f89d5f32100294c761c0de22fd75c6d5b55ec544f1c0cf4e5b0ec91e816d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3447",
    "kind": "arxiv",
    "version": 2
  }
}