Pith Number

pith:OR4MNCN3

pith:2022:OR4MNCN3XVPVMKGVDWDUDFVVGV

not attested not anchored not stored refs pending

Cosmological distances with general-relativistic ray tracing: framework and comparison to cosmographic predictions

Hayley J. Macpherson

arxiv:2209.06775 v2 · 2022-09-14 · 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{OR4MNCN3XVPVMKGVDWDUDFVVGV}

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

On the potential for inhomogeneities to mimic an evolving dark energy

Receipt and verification

First computed	2026-07-05T05:50:46.379004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7478c689bbbd5f5628d51d874196b5356e0a13998cc753d6e991d30c3a8bf777

Aliases

arxiv: 2209.06775 · arxiv_version: 2209.06775v2 · doi: 10.48550/arxiv.2209.06775 · pith_short_12: OR4MNCN3XVPV · pith_short_16: OR4MNCN3XVPVMKGV · pith_short_8: OR4MNCN3

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/OR4MNCN3XVPVMKGVDWDUDFVVGV \
  | 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: 7478c689bbbd5f5628d51d874196b5356e0a13998cc753d6e991d30c3a8bf777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead4a4a07b380f10f3cd0886143ffa51005f95187ebb8004b61676eaead3910d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-09-14T16:52:31Z",
    "title_canon_sha256": "53d9ab403a125b8ff6156da229a0482d42e65244bfd549396ac3b2f12b6dcb5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06775",
    "kind": "arxiv",
    "version": 2
  }
}