Pith Number

pith:MAD5SGU2

pith:2000:MAD5SGU2QNXY3CCTVBLFUUPE2L

not attested not anchored not stored refs pending

Black hole solutions in Euler-Heisenberg theory

Hiroki Yajima, Takashi Tamaki

arxiv:gr-qc/0005016 v2 · 2000-05-04 · gr-qc · 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{MAD5SGU2QNXY3CCTVBLFUUPE2L}

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.

Cited by

5 papers in Pith

Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes

Anisotropic matter and nonlinear electromagnetics black holes

Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes

Properties of black holes in non-linear electrodynamics

Receipt and verification

First computed	2026-07-04T16:19:38.451532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6007d91a9a836f8d8853a8565a51e4d2ed156703ecd301e54f7e54de919a11e5

Aliases

arxiv: gr-qc/0005016 · arxiv_version: gr-qc/0005016v2 · doi: 10.48550/arxiv.gr-qc/0005016 · pith_short_12: MAD5SGU2QNXY · pith_short_16: MAD5SGU2QNXY3CCT · pith_short_8: MAD5SGU2

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/MAD5SGU2QNXY3CCTVBLFUUPE2L \
  | 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: 6007d91a9a836f8d8853a8565a51e4d2ed156703ecd301e54f7e54de919a11e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a08a97674b91d66eab9eea17b9f44afd73628f0b457d6f4d470b6a1141baa92",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-04T08:38:02Z",
    "title_canon_sha256": "fac85227d5c869450134495dae61c009a8d46fa2bc476749fa6dd3a84d80faa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005016",
    "kind": "arxiv",
    "version": 2
  }
}