Pith Number

pith:XNC46FWW

pith:2026:XNC46FWWZBMW252Z2WM5R2LK5S

not attested not anchored not stored refs pending

Gravitational Field of a Rotating Mass on an Expanding Universe

Antonio Pe\~na Pe\~na

arxiv:2605.22895 v1 · 2026-05-21 · 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{XNC46FWWZBMW252Z2WM5R2LK5S}

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	2026-05-25T02:01:29.080917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb45cf16d6c8596d7759d599d8e96aec82b2b6c72863ecc51648cbaf6d51f834

Aliases

arxiv: 2605.22895 · arxiv_version: 2605.22895v1 · doi: 10.48550/arxiv.2605.22895 · pith_short_12: XNC46FWWZBMW · pith_short_16: XNC46FWWZBMW252Z · pith_short_8: XNC46FWW

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/XNC46FWWZBMW252Z2WM5R2LK5S \
  | 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: bb45cf16d6c8596d7759d599d8e96aec82b2b6c72863ecc51648cbaf6d51f834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aebb8bded64acc33492c99002751d339a83392df21338a3bb5fc9f3308c940d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-21T14:22:30Z",
    "title_canon_sha256": "b231e4c0586087b43587c39b3b63ce28b6c7eab2b9077b1b5b8e1f14e2e49fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22895",
    "kind": "arxiv",
    "version": 1
  }
}