Pith Number

pith:WSR5TT44

pith:2013:WSR5TT44OT6DNQJGY6TIB2YMSN

not attested not anchored not stored refs pending

A numerical evaluation of vacuum polarization tensor in constant external magnetic fields

Asako Tsuji, Daiji Kimura, Ken-Ichi Ishikawa, Kenta Shigaki

arxiv:1304.3655 v2 · 2013-04-12 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSR5TT44OT6DNQJGY6TIB2YMSN}

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	2026-05-18T03:08:27.053359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4a3d9cf9c74fc36c126c7a680eb0c934765d886f45486edd0fb9d8ee545d7b6

Aliases

arxiv: 1304.3655 · arxiv_version: 1304.3655v2 · doi: 10.48550/arxiv.1304.3655 · pith_short_12: WSR5TT44OT6D · pith_short_16: WSR5TT44OT6DNQJG · pith_short_8: WSR5TT44

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/WSR5TT44OT6DNQJGY6TIB2YMSN \
  | 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: b4a3d9cf9c74fc36c126c7a680eb0c934765d886f45486edd0fb9d8ee545d7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c80ef637b2c5582eb4ab54e24bff19d9f845e30c2f425050b50c2a989fc144",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-04-12T15:15:38Z",
    "title_canon_sha256": "e55ba0411ab59c23c5fd659ac490d2335817ba094ab60c3052c444c05d2329f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3655",
    "kind": "arxiv",
    "version": 2
  }
}