Pith Number

pith:L7TXZQJK

pith:2024:L7TXZQJKW3737RNDIWT5UECL7A

not attested not anchored not stored refs pending

Orbits of Massive Particles in a Spherically Symmetric Gravitational Field in View of Cosmological Constant

Andrey Ursulov, Ruslan Nakibov

arxiv:2412.02455 v1 · 2024-12-03 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7TXZQJKW3737RNDIWT5UECL7A}

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	2026-07-05T09:44:18.055401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe77cc12ab6ffbfc5a345a7da104bf810fcb48f8f1744fe2e3d4a1493e61f66

Aliases

arxiv: 2412.02455 · arxiv_version: 2412.02455v1 · doi: 10.48550/arxiv.2412.02455 · pith_short_12: L7TXZQJKW373 · pith_short_16: L7TXZQJKW3737RND · pith_short_8: L7TXZQJK

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/L7TXZQJKW3737RNDIWT5UECL7A \
  | 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: 5fe77cc12ab6ffbfc5a345a7da104bf810fcb48f8f1744fe2e3d4a1493e61f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c59ffa661363c7b5e678ea478261c9635044462ab58e16886d05dea26d35c4",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-03T13:49:01Z",
    "title_canon_sha256": "fa622bb1bd99113f043836d1afba6919051532b2f5ead84cedf40910a3f0cb3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02455",
    "kind": "arxiv",
    "version": 1
  }
}