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Pith Number

pith:LIEUQGP5

pith:2013:LIEUQGP5FFWCCDWTHZX7X57UJU
not attested not anchored not stored refs pending

Interpretation of the Hubble diagram in a nonhomogeneous universe

H\'el\`ene Dupuy, Jean-Philippe Uzan, Pierre Fleury

arxiv:1302.5308 v2 · 2013-02-21 · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LIEUQGP5FFWCCDWTHZX7X57UJU}

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 2026-05-18T03:19:34.898782Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a094819fd296c210ed33e6ffbf7f44d2f85a8c073136d452fd1adce247f9c66

Aliases

arxiv: 1302.5308 · arxiv_version: 1302.5308v2 · doi: 10.48550/arxiv.1302.5308 · pith_short_12: LIEUQGP5FFWC · pith_short_16: LIEUQGP5FFWCCDWT · pith_short_8: LIEUQGP5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LIEUQGP5FFWCCDWTHZX7X57UJU \
  | 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: 5a094819fd296c210ed33e6ffbf7f44d2f85a8c073136d452fd1adce247f9c66
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f949d9cfd7f4d9bf6a49e5e2b2d61270f3bf09ff9825c407db1aca27a29c11ba",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-02-21T15:37:48Z",
    "title_canon_sha256": "3e7af5f1e6720e902d8a2bc38a0922cbe844af979f7a5a12fd0f366b322e1707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5308",
    "kind": "arxiv",
    "version": 2
  }
}