Pith Number

pith:RX3MLBCW

pith:2018:RX3MLBCWQ6FKAJA5WKKC7RYRRE

not attested not anchored not stored refs pending

Anomalies in Time Delays of Lensed Gravitational Waves and Dark Matter Substructures

Kai Liao, Marek Biesiada, Xi-Long Fan, Xuheng Ding, Zong-Hong Zhu

arxiv:1809.07079 v1 · 2018-09-19 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RX3MLBCWQ6FKAJA5WKKC7RYRRE}

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	2026-05-18T00:01:48.654649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df6c58456878aa0241db2942fc71189210edf9df795bc05479fd3c1bf3cb5fc

Aliases

arxiv: 1809.07079 · arxiv_version: 1809.07079v1 · doi: 10.48550/arxiv.1809.07079 · pith_short_12: RX3MLBCWQ6FK · pith_short_16: RX3MLBCWQ6FKAJA5 · pith_short_8: RX3MLBCW

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/RX3MLBCWQ6FKAJA5WKKC7RYRRE \
  | 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: 8df6c58456878aa0241db2942fc71189210edf9df795bc05479fd3c1bf3cb5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffea2ce7cfd13c771fe78dab26a3708dd7543114d45f6629892c35d64c223b8e",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-09-19T09:06:55Z",
    "title_canon_sha256": "a20ebd87e060510d72a3cf5e130ad979312b6c645f7eb7001644a28a341fe2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07079",
    "kind": "arxiv",
    "version": 1
  }
}