Pith Number

pith:7BWMHGZI

pith:2019:7BWMHGZIYHTLMG3NSOIPJUUYLM

not attested not anchored not stored refs pending

Exact Black Hole Solutions in Modified Gravity Theories: Spherical Symmetry Case

Andrew Sullivan, Nicol\'as Yunes, Thomas P. Sotiriou

arxiv:1903.02624 v1 · 2019-03-06 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BWMHGZIYHTLMG3NSOIPJUUYLM}

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	2026-07-05T00:41:24.934417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86cc39b28c1e6b61b6d9390f4d2985b3c34aa94fa4e48d3dbeae8de8d308581

Aliases

arxiv: 1903.02624 · arxiv_version: 1903.02624v1 · doi: 10.48550/arxiv.1903.02624 · pith_short_12: 7BWMHGZIYHTL · pith_short_16: 7BWMHGZIYHTLMG3N · pith_short_8: 7BWMHGZI

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/7BWMHGZIYHTLMG3NSOIPJUUYLM \
  | 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: f86cc39b28c1e6b61b6d9390f4d2985b3c34aa94fa4e48d3dbeae8de8d308581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9325e439224b73cec76eac1a08e8dc2b7ecfe4879621dd419ca1c8ea725c02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-03-06T21:44:09Z",
    "title_canon_sha256": "9d445a632e2fd1c99685e4c669ed88c9092f5b97859e589cca02777b0092413e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02624",
    "kind": "arxiv",
    "version": 1
  }
}