Pith Number

pith:4CS3RQ67

pith:2025:4CS3RQ67P6LAYDLU3ETSZFDTEI

not attested not anchored not stored refs pending

Close Hyperbolic Encounters In f(R) Gravity

Alvaro de la Cruz-Dombriz, Jenna Bruton, Peter Dunsby

arxiv:2506.20787 v1 · 2025-06-25 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CS3RQ67P6LAYDLU3ETSZFDTEI}

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

Close Hyperbolic Encounters In f(R) Gravity

Receipt and verification

First computed	2026-07-05T11:27:34.064071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a5b8c3df7f960c0d74d9272c9473220e8ed87567a30dec99596b9d37fea539

Aliases

arxiv: 2506.20787 · arxiv_version: 2506.20787v1 · doi: 10.48550/arxiv.2506.20787 · pith_short_12: 4CS3RQ67P6LA · pith_short_16: 4CS3RQ67P6LAYDLU · pith_short_8: 4CS3RQ67

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/4CS3RQ67P6LAYDLU3ETSZFDTEI \
  | 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: e0a5b8c3df7f960c0d74d9272c9473220e8ed87567a30dec99596b9d37fea539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d5c4c48ee5f3653c43f3288e4d74ca0fba6b6975cfbbf4b00f1641f355c0c3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-25T19:19:26Z",
    "title_canon_sha256": "31cf32795beacaa5df78519db60248ef0710ed1f5d6cdd94024a8a533978f8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20787",
    "kind": "arxiv",
    "version": 1
  }
}