Pith Number

pith:XR3KD64O

pith:2009:XR3KD64OMWDJ7QF5SU5VBITF4T

not attested not anchored not stored refs pending

One-loop corrections to the photon propagator in the curved-space QED

Bruno Gon\c{c}alves, Guilherme de Berredo-Peixoto, Ilya L. Shapiro

arxiv:0906.3837 v3 · 2009-06-20 · 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{XR3KD64OMWDJ7QF5SU5VBITF4T}

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	2026-05-18T03:23:59.292716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc76a1fb8e65869fc0bd953b50a265e4de621da52c27b113b349a33aa0c0ed05

Aliases

arxiv: 0906.3837 · arxiv_version: 0906.3837v3 · doi: 10.48550/arxiv.0906.3837 · pith_short_12: XR3KD64OMWDJ · pith_short_16: XR3KD64OMWDJ7QF5 · pith_short_8: XR3KD64O

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/XR3KD64OMWDJ7QF5SU5VBITF4T \
  | 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: bc76a1fb8e65869fc0bd953b50a265e4de621da52c27b113b349a33aa0c0ed05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a026c7bf33fb68f2fd84663b39ecf0d49ea0a4758b440303aa5827d71fcdc84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-06-20T23:48:32Z",
    "title_canon_sha256": "9e79a38d7812cf0e77dc795b2375ca2da6e93981535124264e12704c93a24512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3837",
    "kind": "arxiv",
    "version": 3
  }
}