Pith Number

pith:AGPUJGKW

pith:2019:AGPUJGKWPFMJ6MUOPUIKBVRWWH

not attested not anchored not stored refs pending

Coordinate independent approach to the calculation of the effects of local structure on the luminosity distance

Antonio Enea Romano, Sergio Andr\'es Vallejo-Pe\~na

arxiv:1906.04946 v1 · 2019-06-12 · 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{AGPUJGKWPFMJ6MUOPUIKBVRWWH}

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	2026-07-05T00:48:15.668878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

019f44995679589f328e7d10a0d636b1d08b977813d312d6c694b7820c26c0ef

Aliases

arxiv: 1906.04946 · arxiv_version: 1906.04946v1 · doi: 10.48550/arxiv.1906.04946 · pith_short_12: AGPUJGKWPFMJ · pith_short_16: AGPUJGKWPFMJ6MUO · pith_short_8: AGPUJGKW

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/AGPUJGKWPFMJ6MUOPUIKBVRWWH \
  | 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: 019f44995679589f328e7d10a0d636b1d08b977813d312d6c694b7820c26c0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb553a661045195c95c9fed07c598d706326ce1d1e9d7dfd9a15441e45bd164e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-06-12T05:14:34Z",
    "title_canon_sha256": "8717f29204548109f23b447aece23014fccdeb289938edb0646589bcbfd6ea7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04946",
    "kind": "arxiv",
    "version": 1
  }
}