pith. sign in
Pith Number

pith:ZIJ3QJ7T

pith:2011:ZIJ3QJ7TCMYC6AZNR6CPMRKG5Y
not attested not anchored not stored refs pending

Quantum gravitational contributions to the beta function of quantum electrodynamics

J. C. C. Felipe, L. C. T. Brito, Marcos Sampaio, M. C. Nemes

arxiv:1103.5824 v1 · 2011-03-30 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZIJ3QJ7TCMYC6AZNR6CPMRKG5Y}

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 2026-05-18T04:22:00.500933Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca13b827f313302f032d8f84f64546ee2cc60b4823849ae7d03a02306b497aa2

Aliases

arxiv: 1103.5824 · arxiv_version: 1103.5824v1 · doi: 10.48550/arxiv.1103.5824 · pith_short_12: ZIJ3QJ7TCMYC · pith_short_16: ZIJ3QJ7TCMYC6AZN · pith_short_8: ZIJ3QJ7T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZIJ3QJ7TCMYC6AZNR6CPMRKG5Y \
  | 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: ca13b827f313302f032d8f84f64546ee2cc60b4823849ae7d03a02306b497aa2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3191f2d7dfe8b8d69db2ac9865ef8526d8c468858177f177a65d013a552e1297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-30T05:26:47Z",
    "title_canon_sha256": "e58d91fd8b60fa579dd3377acc77c257edd5a28f7866f9cada2c290985145219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5824",
    "kind": "arxiv",
    "version": 1
  }
}