Pith Number

pith:E4GHERAI

pith:2020:E4GHERAI7WFDSFDW2XQGM5XUV2

not attested not anchored not stored refs pending

Machine learning forecasts of the cosmic distance duality relation with strongly lensed gravitational wave events

Hai-Nan Lin, Li Tang, Rub\'en Arjona, Savvas Nesseris

arxiv:2011.02718 v2 · 2020-11-05 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4GHERAI7WFDSFDW2XQGM5XUV2}

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

Cosmic distance duality after DESI 2024 data release and dark energy evolution

Receipt and verification

First computed	2026-07-05T02:39:43.171874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270c724408fd8a391476d5e06676f4aeba037cc8db8dfcdf2ca91eb6158856d2

Aliases

arxiv: 2011.02718 · arxiv_version: 2011.02718v2 · doi: 10.48550/arxiv.2011.02718 · pith_short_12: E4GHERAI7WFD · pith_short_16: E4GHERAI7WFDSFDW · pith_short_8: E4GHERAI

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/E4GHERAI7WFDSFDW2XQGM5XUV2 \
  | 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: 270c724408fd8a391476d5e06676f4aeba037cc8db8dfcdf2ca91eb6158856d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e22fc31a0814e54ccb50d2f204a97ecd756c09d2346b8d033106ad72ac1819c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-05T09:17:09Z",
    "title_canon_sha256": "1bac6f079264f9ee41ebf8284bd73c643de5f98d341577d30550c92f1b7f432d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02718",
    "kind": "arxiv",
    "version": 2
  }
}