Pith Number

pith:CUUM2F4G

pith:2018:CUUM2F4GMDWGEVJSUJP35AK4EE

not attested not anchored not stored refs pending

Perturbative treatment of the luminosity distance

Dimitar Ivanov, Matteo Viel, Matt Visser, Stefano Liberati

arxiv:1803.08766 v2 · 2018-03-23 · gr-qc · 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{CUUM2F4GMDWGEVJSUJP35AK4EE}

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	2026-05-18T00:05:39.250459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1528cd178660ec625532a25fbe815c2101e26acc410539600a8d5c5bcd4c05eb

Aliases

arxiv: 1803.08766 · arxiv_version: 1803.08766v2 · doi: 10.48550/arxiv.1803.08766 · pith_short_12: CUUM2F4GMDWG · pith_short_16: CUUM2F4GMDWGEVJS · pith_short_8: CUUM2F4G

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/CUUM2F4GMDWGEVJSUJP35AK4EE \
  | 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: 1528cd178660ec625532a25fbe815c2101e26acc410539600a8d5c5bcd4c05eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d631713a69f9c2fcdb112ab4a578a1f6e811f85b64c470c3385fc81e2a5181",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-03-23T12:35:32Z",
    "title_canon_sha256": "f76ca6a5ab280d2e554d7aecfc4c74f4f3ac0464587155a0b871f90ca992afb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08766",
    "kind": "arxiv",
    "version": 2
  }
}