pith. sign in
Pith Number

pith:OSEHL7FA

pith:2012:OSEHL7FAPD2YOHJGTCJAQGX5YH
not attested not anchored not stored refs pending

Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED

Angel Sanchez, Efrain J. Ferrer, Vivian de la Incera

arxiv:1204.3660 v2 · 2012-04-16 · hep-th · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OSEHL7FAPD2YOHJGTCJAQGX5YH}

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 2026-05-18T01:57:51.744044Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9

Aliases

arxiv: 1204.3660 · arxiv_version: 1204.3660v2 · doi: 10.48550/arxiv.1204.3660 · pith_short_12: OSEHL7FAPD2Y · pith_short_16: OSEHL7FAPD2YOHJG · pith_short_8: OSEHL7FA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH \
  | 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: 748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a44f08fc8e00d8ce3be3faef37199d1b009fb7cd906aee992cdb0cf5bae3e1f3",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-16T21:37:10Z",
    "title_canon_sha256": "cdf1f4aa1d34a2b51fc236c6b0fe4aa8b544632b15b7e79b9c494fe785e2ac72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3660",
    "kind": "arxiv",
    "version": 2
  }
}