Pith Number

pith:Z3ZWVVQD

pith:2012:Z3ZWVVQDL7A4VI3TF2TBPXSTJ2

not attested not anchored not stored refs pending

Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels

Kazunori Itakura, Koichi Hattori

arxiv:1209.2663 v2 · 2012-09-12 · hep-ph · astro-ph.HE · hep-th · nucl-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{Z3ZWVVQDL7A4VI3TF2TBPXSTJ2}

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	2026-05-18T03:26:42.804199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef36ad6035fc1caa3732ea617de534eae988254df99a30ac01b2cbff56ad74c

Aliases

arxiv: 1209.2663 · arxiv_version: 1209.2663v2 · doi: 10.48550/arxiv.1209.2663 · pith_short_12: Z3ZWVVQDL7A4 · pith_short_16: Z3ZWVVQDL7A4VI3T · pith_short_8: Z3ZWVVQD

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/Z3ZWVVQDL7A4VI3TF2TBPXSTJ2 \
  | 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: cef36ad6035fc1caa3732ea617de534eae988254df99a30ac01b2cbff56ad74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74317e2cd40202201360651347c55e10bb5e1c4d5e72a7793e68fc86ec8d17ac",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-12T16:53:59Z",
    "title_canon_sha256": "7bdf83019e65ad54597e1fa38653a7ddaf031b3ad33efa900a1b380d9575b35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2663",
    "kind": "arxiv",
    "version": 2
  }
}