Pith Number

pith:X7UDTX6V

pith:2013:X7UDTX6VLCDT2N22DD4PRDYB2B

not attested not anchored not stored refs pending

Average and dispersion of the luminosity-redshift relation in the concordance model

F. Nugier, G. Marozzi, G. Veneziano, I. Ben-Dayan, M. Gasperini

arxiv:1302.0740 v3 · 2013-02-04 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7UDTX6VLCDT2N22DD4PRDYB2B}

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	2026-05-18T01:51:50.731545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe839dfd558873d375a18f8f88f01d076fe42f3bf244d0f8bcf7fb60077efd4

Aliases

arxiv: 1302.0740 · arxiv_version: 1302.0740v3 · doi: 10.48550/arxiv.1302.0740 · pith_short_12: X7UDTX6VLCDT · pith_short_16: X7UDTX6VLCDT2N22 · pith_short_8: X7UDTX6V

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/X7UDTX6VLCDT2N22DD4PRDYB2B \
  | 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: bfe839dfd558873d375a18f8f88f01d076fe42f3bf244d0f8bcf7fb60077efd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6826c08d2f2a5531f421803bf1937617b80b2356a58c55979c03780c3d3e552",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-02-04T16:13:00Z",
    "title_canon_sha256": "ff53d9039ef97d5d8fc60a5fc86952f0829d1fd9a3f97aa46ccf3e8b89202b99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0740",
    "kind": "arxiv",
    "version": 3
  }
}