Pith Number

pith:EOI2T4VG

pith:2009:EOI2T4VG2EJYO7RFL6TZLE4GYE

not attested not anchored not stored refs pending

New Renormalization Scheme of Vacuum Polarization in QED

H. Kato, H. Kubo, K. Tsuda, N. Kanda, S. Oshima, T. Fujita, Y. Munakata

arxiv:0901.3421 v1 · 2009-01-22 · 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{EOI2T4VG2EJYO7RFL6TZLE4GYE}

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	2026-07-04T15:36:37.851040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29

Aliases

arxiv: 0901.3421 · arxiv_version: 0901.3421v1 · doi: 10.48550/arxiv.0901.3421 · pith_short_12: EOI2T4VG2EJY · pith_short_16: EOI2T4VG2EJYO7RF · pith_short_8: EOI2T4VG

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/EOI2T4VG2EJYO7RFL6TZLE4GYE \
  | 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: 2391a9f2a6d113877e255fa7959386c119138a683bac6537b874f1648330ea29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1241f1d27b7c5510a19dbff29833946317882d0a26f0c9498ad0f9d63203a5ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-01-22T07:38:05Z",
    "title_canon_sha256": "016bc7a97c1e13f2034d712fdf1ab0589951fdb97bb0022fe9d808eb3e0cae8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3421",
    "kind": "arxiv",
    "version": 1
  }
}