Pith Number

pith:MTVPKYYV

pith:2016:MTVPKYYVDK5RAZMFFEO22DN236

not attested not anchored not stored refs pending

Constancy of the Cluster Gas Mass Fraction in the R_h=ct Universe

Fulvio Melia

arxiv:1601.04649 v1 · 2016-01-18 · astro-ph.CO · astro-ph.GA · astro-ph.HE · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTVPKYYVDK5RAZMFFEO22DN236}

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	2026-05-18T00:05:20.036451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64eaf563151abb106585291dad0dbadfaaf249bfcb2e54223a149ccad46116c9

Aliases

arxiv: 1601.04649 · arxiv_version: 1601.04649v1 · doi: 10.48550/arxiv.1601.04649 · pith_short_12: MTVPKYYVDK5R · pith_short_16: MTVPKYYVDK5RAZMF · pith_short_8: MTVPKYYV

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/MTVPKYYVDK5RAZMFFEO22DN236 \
  | 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: 64eaf563151abb106585291dad0dbadfaaf249bfcb2e54223a149ccad46116c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9648ebffd084ae9ac4857a3827aced2bbe388c216532a3bb1f413b75cf5c74e4",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-01-18T18:37:32Z",
    "title_canon_sha256": "9875e9fd6e96772bbe55b44a6219f8e53f51465dd047795f496d8621b3c5431b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04649",
    "kind": "arxiv",
    "version": 1
  }
}