Pith Number

pith:LZ2U5UHO

pith:2011:LZ2U5UHOTKPSAMIH5PGHU5F3WR

not attested not anchored not stored refs pending

Redshift and distances in a {\Lambda}CDM cosmology with non-linear inhomogeneities

Marco Bruni (ICG, Nikolai Meures, Portsmouth)

arxiv:1107.4433 v2 · 2011-07-22 · 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{LZ2U5UHOTKPSAMIH5PGHU5F3WR}

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	2026-05-18T02:21:42.721205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e754ed0ee9a9f203107ebcc7a74bbb44428570e2074fec5352f73aeb43f0be8

Aliases

arxiv: 1107.4433 · arxiv_version: 1107.4433v2 · doi: 10.48550/arxiv.1107.4433 · pith_short_12: LZ2U5UHOTKPS · pith_short_16: LZ2U5UHOTKPSAMIH · pith_short_8: LZ2U5UHO

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/LZ2U5UHOTKPSAMIH5PGHU5F3WR \
  | 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: 5e754ed0ee9a9f203107ebcc7a74bbb44428570e2074fec5352f73aeb43f0be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec501ecc12f3fb3dc5c5af0c50ee2a3b704dc38e0314e1181d83f065f5bf9daf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-22T07:13:30Z",
    "title_canon_sha256": "fb53c12b6ee5145f790f367d336c4adb84f9bde4f4d65f42ae993090f605ea50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4433",
    "kind": "arxiv",
    "version": 2
  }
}