Pith Number

pith:FMPHKY75

pith:2011:FMPHKY75JMZXJMLAIAUE275ZPP

not attested not anchored not stored refs pending

An analytical approximation of the luminosity distance in flat cosmologies with a cosmological constant

Masaru Adachi, Masumi Kasai

arxiv:1111.6396 v1 · 2011-11-28 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMPHKY75JMZXJMLAIAUE275ZPP}

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.

Cited by

1 paper in Pith

KiDS+VIKING-450 cosmology with Bayesian hierarchical model redshift distributions

Receipt and verification

First computed	2026-05-18T04:03:19.007498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1e7563fd4b3374b16040284d7fb97bc9b728d26e05bd38c7db3ef10d61a9f2

Aliases

arxiv: 1111.6396 · arxiv_version: 1111.6396v1 · doi: 10.48550/arxiv.1111.6396 · pith_short_12: FMPHKY75JMZX · pith_short_16: FMPHKY75JMZXJMLA · pith_short_8: FMPHKY75

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/FMPHKY75JMZXJMLAIAUE275ZPP \
  | 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: 2b1e7563fd4b3374b16040284d7fb97bc9b728d26e05bd38c7db3ef10d61a9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c67ae801201ecced50bfcbf0f4e4bf702f6ed300bb7addb8c4672719b9b05691",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-28T10:35:03Z",
    "title_canon_sha256": "283eee7d4e995ea8f24b3592f4603b4a6399312a6957fd8ba79bd2c6c73ffb85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6396",
    "kind": "arxiv",
    "version": 1
  }
}