Pith Number

pith:L7AQZYRJ

pith:2026:L7AQZYRJI2PP22REX5KODI5LL3

not attested not anchored not stored refs pending

When does a sphere fall like a point particle? Quadrupole universality and Weyl-driven hexadecapole deviations in vacuum general relativity

Ricardo A. Mosna, Ronaldo S. S. Vieira, Tiago S. Amancio

arxiv:2607.22370 v1 · 2026-07-24 · 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{L7AQZYRJI2PP22REX5KODI5LL3}

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	2026-07-27T01:21:17.018580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc10ce229469efd6a24bf54e1a3ab5eca502825a6d387b8db899d7d5a15ccd4

Aliases

arxiv: 2607.22370 · arxiv_version: 2607.22370v1 · doi: 10.48550/arxiv.2607.22370 · pith_short_12: L7AQZYRJI2PP · pith_short_16: L7AQZYRJI2PP22RE · pith_short_8: L7AQZYRJ

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/L7AQZYRJI2PP22REX5KODI5LL3 \
  | 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: 5fc10ce229469efd6a24bf54e1a3ab5eca502825a6d387b8db899d7d5a15ccd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8129caf71b53a0082fa61a75832e563e01ea2d5df3a25b4f2247dbe6ee1dd0da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-24T14:57:53Z",
    "title_canon_sha256": "ece49311adfbb4ef56645a22716863c4e5c4439fde4edf183ae3812989a5bd99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22370",
    "kind": "arxiv",
    "version": 1
  }
}