Pith Number

pith:32T2BGQY

pith:2008:32T2BGQYTU6PEB7ZWXAPFCRIRW

not attested not anchored not stored refs pending

Analytical Estimate of the Effect of Spherical Inhomogeneities on Luminosity Distance and Redshift

N. Brouzakis, N. Tetradis

arxiv:0802.0859 v2 · 2008-02-06 · astro-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{32T2BGQYTU6PEB7ZWXAPFCRIRW}

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	2026-07-04T15:44:41.138396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea7a09a189d3cf207f9b5c0f28a288dacf50e5941172c7cf3934c72e459ce5d

Aliases

arxiv: 0802.0859 · arxiv_version: 0802.0859v2 · doi: 10.48550/arxiv.0802.0859 · pith_short_12: 32T2BGQYTU6P · pith_short_16: 32T2BGQYTU6PEB7Z · pith_short_8: 32T2BGQY

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/32T2BGQYTU6PEB7ZWXAPFCRIRW \
  | 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: dea7a09a189d3cf207f9b5c0f28a288dacf50e5941172c7cf3934c72e459ce5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08403f0959c4c295f32d117bbd24853a8a12ce8f694766e97190525d40b448a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-02-06T19:22:54Z",
    "title_canon_sha256": "0203ee0dbd1dd2dcd4eafa3e1612e67dafe9f6e5bcabff8acbb86ba190b74f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0859",
    "kind": "arxiv",
    "version": 2
  }
}