Pith Number

pith:44NHKDD3

pith:2026:44NHKDD36OOAGGI2VMA36FTSKI

not attested not anchored not stored refs pending

Two shadows of a single black hole: Vacuum birefringence phenomena within Einstein-nonlinear-electrodynamics

Carlos A. R. Herdeiro, Haroldo C. D. Lima, Lu\'is C. B. Crispino, Marco A. A. de Paula, Pedro V. P. Cunha

arxiv:2603.17007 v2 · 2026-03-17 · 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{44NHKDD36OOAGGI2VMA36FTSKI}

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

2 papers in Pith

Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole

Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning

Receipt and verification

First computed	2026-07-17T01:21:47.516805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71a750c7bf39c03191aab01bf1672521bf0cc7b3e8400d3870d2b350a9a3a6c

Aliases

arxiv: 2603.17007 · arxiv_version: 2603.17007v2 · doi: 10.48550/arxiv.2603.17007 · pith_short_12: 44NHKDD36OOA · pith_short_16: 44NHKDD36OOAGGI2 · pith_short_8: 44NHKDD3

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/44NHKDD36OOAGGI2VMA36FTSKI \
  | 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: e71a750c7bf39c03191aab01bf1672521bf0cc7b3e8400d3870d2b350a9a3a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e173e021e90e47a4525ccc135b723c85d0c05f2d5467e51df7ed740753df5d8d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-17T18:00:05Z",
    "title_canon_sha256": "69109bb6385deae0cc44661956510a353f83ea69e72ef7593a35dcf2d7a70bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.17007",
    "kind": "arxiv",
    "version": 2
  }
}