Pith Number

pith:WKPX5YL4

pith:2006:WKPX5YL477SCFUEEPCZPVGYRWL

not attested not anchored not stored refs pending

The Effect of Large-Scale Inhomogeneities on the Luminosity Distance

E. Tzavara, N. Brouzakis, N. Tetradis

arxiv:astro-ph/0612179 v2 · 2006-12-07 · 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{WKPX5YL477SCFUEEPCZPVGYRWL}

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	2026-05-18T04:38:37.134769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29f7ee17cffe422d08478b2fa9b11b2d0fb9ae304795649d0eb00a9b13f07a5

Aliases

arxiv: astro-ph/0612179 · arxiv_version: astro-ph/0612179v2 · doi: 10.48550/arxiv.astro-ph/0612179 · pith_short_12: WKPX5YL477SC · pith_short_16: WKPX5YL477SCFUEE · pith_short_8: WKPX5YL4

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/WKPX5YL477SCFUEEPCZPVGYRWL \
  | 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: b29f7ee17cffe422d08478b2fa9b11b2d0fb9ae304795649d0eb00a9b13f07a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475922db375a28d7501c85d54e743055f5f37e744595e18f4fca95f86a3c60c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-07T13:02:51Z",
    "title_canon_sha256": "baf28496cee16a53d79712560d113a2baced17309668b5f300100a8d4b51e30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612179",
    "kind": "arxiv",
    "version": 2
  }
}