Pith Number

pith:MLBMU4VD

pith:2016:MLBMU4VDGSAKOCFJALYXPHPO7Q

not attested not anchored not stored refs pending

Searching for deviations from the General Relativity Theory with gas mass fraction of galaxy clusters and complementary probes

R. F. L. Holanda, S. H. Pereira, S. Santos-da-Costa

arxiv:1612.09365 v3 · 2016-12-30 · astro-ph.CO · 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{MLBMU4VDGSAKOCFJALYXPHPO7Q}

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	2026-05-18T00:44:19.697263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c2ca72a33480a708a902f1779deefc143a07af4298ab2ebd6b84ad13f35710

Aliases

arxiv: 1612.09365 · arxiv_version: 1612.09365v3 · doi: 10.48550/arxiv.1612.09365 · pith_short_12: MLBMU4VDGSAK · pith_short_16: MLBMU4VDGSAKOCFJ · pith_short_8: MLBMU4VD

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/MLBMU4VDGSAKOCFJALYXPHPO7Q \
  | 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: 62c2ca72a33480a708a902f1779deefc143a07af4298ab2ebd6b84ad13f35710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e790670e8c70dff64ede9617f9126123b58582c30292228bd9feda5e86d78c6b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-30T01:32:54Z",
    "title_canon_sha256": "a20e3cc9f3806fd8136a947adbccc583b6df4712929cd351b6f91f0d6f6e59af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09365",
    "kind": "arxiv",
    "version": 3
  }
}