Pith Number

pith:TQDALAXO

pith:2022:TQDALAXO2WFBAHFVKBXIL4CHBE

not attested not anchored not stored refs pending

Testing non-local gravity by clusters of galaxies

Filippo Bouch\`e, Keiichi Umetsu, Salvatore Capozziello, Vincenzo Salzano

arxiv:2205.03216 v2 · 2022-05-05 · gr-qc · astro-ph.CO · 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{TQDALAXO2WFBAHFVKBXIL4CHBE}

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	2026-07-05T04:47:16.752173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c060582eed58a101cb5506e85f047093944a4e0041981458178ac87ab7b1747

Aliases

arxiv: 2205.03216 · arxiv_version: 2205.03216v2 · doi: 10.48550/arxiv.2205.03216 · pith_short_12: TQDALAXO2WFB · pith_short_16: TQDALAXO2WFBAHFV · pith_short_8: TQDALAXO

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/TQDALAXO2WFBAHFVKBXIL4CHBE \
  | 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: 9c060582eed58a101cb5506e85f047093944a4e0041981458178ac87ab7b1747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32cee67cb3b41a11e16eb275f44e45df4da2a68afb4557aa497e7d9364bd96b8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-05T14:31:18Z",
    "title_canon_sha256": "44e85bfba0b7b2c2c611138c9e80e50b924623d4723e044aaa24f8f14d4d271a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.03216",
    "kind": "arxiv",
    "version": 2
  }
}