Pith Number

pith:22T3I5UX

pith:2019:22T3I5UXT7NHRQHPMR3JUCEOMX

not attested not anchored not stored refs pending

Complementary constraints on dark energy equation of state from strongly lensed gravitational wave

Bin Liu, Zhengxiang Li, Zong-Hong Zhu

arxiv:1904.11751 v1 · 2019-04-26 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22T3I5UXT7NHRQHPMR3JUCEOMX}

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

Parameter inference of millilensed gravitational waves using neural spline flows

Receipt and verification

First computed	2026-05-17T23:46:11.705035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a7b476979fda78c0ef64769a088e65c89a8e0ddd957b1ff10467e9e1d8d29f

Aliases

arxiv: 1904.11751 · arxiv_version: 1904.11751v1 · doi: 10.48550/arxiv.1904.11751 · pith_short_12: 22T3I5UXT7NH · pith_short_16: 22T3I5UXT7NHRQHP · pith_short_8: 22T3I5UX

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/22T3I5UXT7NHRQHPMR3JUCEOMX \
  | 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: d6a7b476979fda78c0ef64769a088e65c89a8e0ddd957b1ff10467e9e1d8d29f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b122f6ac26a99b14f485a41866de71bad8ca7fc348ad2dac30ee98261d2eda9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-04-26T10:29:07Z",
    "title_canon_sha256": "10dd86c2cf05ed03a713fe759ce174460dd9d79cc5b0dec8ced035c3746736d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11751",
    "kind": "arxiv",
    "version": 1
  }
}