Pith Number

pith:5JC4N3J2

pith:2020:5JC4N3J2GBCVLQGKMKYYDR5SS6

not attested not anchored not stored refs pending

Infinitely degenerate exact Ricci-flat solutions in f(R) gravity

Jose Mathew, Semin Xavier, S. Shankaranarayanan

arxiv:2003.05139 v2 · 2020-03-11 · 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{5JC4N3J2GBCVLQGKMKYYDR5SS6}

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

Primordial Black Holes: A Review of Formation and Evolution

Receipt and verification

First computed	2026-07-05T01:39:26.233987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea45c6ed3a304555c0ca62b181c7b297b2aeb7b3bcd2a400f4e4a185c110c9be

Aliases

arxiv: 2003.05139 · arxiv_version: 2003.05139v2 · doi: 10.48550/arxiv.2003.05139 · pith_short_12: 5JC4N3J2GBCV · pith_short_16: 5JC4N3J2GBCVLQGK · pith_short_8: 5JC4N3J2

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/5JC4N3J2GBCVLQGKMKYYDR5SS6 \
  | 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: ea45c6ed3a304555c0ca62b181c7b297b2aeb7b3bcd2a400f4e4a185c110c9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6358aee2d64ffb391aaf3af90d4f3a7c1448f55eb5fcac33d54953bc87afca88",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-11T07:22:48Z",
    "title_canon_sha256": "b3d628525d140c794e33c14d2ae27910461a87cc206d306c84cfae7f9cb0abf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.05139",
    "kind": "arxiv",
    "version": 2
  }
}