Pith Number

pith:GRH5XMY6

pith:2017:GRH5XMY6BKDUPM6W6TI64VZWMB

not attested not anchored not stored refs pending

Ray tracing and Hubble diagrams in post-Newtonian cosmology

Pierre Fleury, Timothy Clifton, Viraj A. A. Sanghai

arxiv:1705.02328 v2 · 2017-05-05 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRH5XMY6BKDUPM6W6TI64VZWMB}

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

Les Houches on Dark Universe 2025: Elements of cosmology beyond FLRW

Receipt and verification

First computed	2026-05-18T00:40:03.755549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344fdbb31e0a8747b3d6f4d1ee57366065a60c402fa58db3c37a3f650b5f1cae

Aliases

arxiv: 1705.02328 · arxiv_version: 1705.02328v2 · doi: 10.48550/arxiv.1705.02328 · pith_short_12: GRH5XMY6BKDU · pith_short_16: GRH5XMY6BKDUPM6W · pith_short_8: GRH5XMY6

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/GRH5XMY6BKDUPM6W6TI64VZWMB \
  | 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: 344fdbb31e0a8747b3d6f4d1ee57366065a60c402fa58db3c37a3f650b5f1cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd46888fe40c995a30e803560ad6afe66e80a46d3a2d8ad6e6ef0433f05223c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-05-05T17:56:07Z",
    "title_canon_sha256": "193df6ca8ab2baaa115c6d154e1ceee2579c0e57cb22e888e1eda515bce65f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02328",
    "kind": "arxiv",
    "version": 2
  }
}