Pith Number

pith:OK6UYFRR

pith:2024:OK6UYFRRTAOJTBPQ5MXPFJVV3C

not attested not anchored not stored refs pending

Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole

A. A. Ara\'ujo Filho, Ali \"Ovg\"un, N. Heidari

arxiv:2412.08369 v2 · 2024-12-11 · 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{OK6UYFRRTAOJTBPQ5MXPFJVV3C}

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

1 paper in Pith

Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow

Receipt and verification

First computed	2026-07-05T11:29:53.079573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72bd4c1631981c9985f0eb2ef2a6b5d89ab7470345c174cf0095a2900781c70c

Aliases

arxiv: 2412.08369 · arxiv_version: 2412.08369v2 · doi: 10.48550/arxiv.2412.08369 · pith_short_12: OK6UYFRRTAOJ · pith_short_16: OK6UYFRRTAOJTBPQ · pith_short_8: OK6UYFRR

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/OK6UYFRRTAOJTBPQ5MXPFJVV3C \
  | 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: 72bd4c1631981c9985f0eb2ef2a6b5d89ab7470345c174cf0095a2900781c70c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c71ce21c3c7cac38091cfeb049b9e180b3a2ffd1f971176f5e3b4535ef9829",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-11T13:26:50Z",
    "title_canon_sha256": "092ed5913a3214e2bd8f8f14456539da9388ecb136c245649836f9b5bb460437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08369",
    "kind": "arxiv",
    "version": 2
  }
}