Pith Number

pith:O4RBBAIR

pith:2016:O4RBBAIRVJHWYRIFQTECMVHJUY

not attested not anchored not stored refs pending

Multi-Messenger Time Delays from Lensed Gravitational Waves

Mark Trodden, Tessa Baker

arxiv:1612.02004 v2 · 2016-12-06 · 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{O4RBBAIRVJHWYRIFQTECMVHJUY}

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	2026-05-18T00:43:29.649167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7722108111aa4f6c450584c82654e9a615109319aa8ad9d757f338f2ded5965c

Aliases

arxiv: 1612.02004 · arxiv_version: 1612.02004v2 · doi: 10.48550/arxiv.1612.02004 · pith_short_12: O4RBBAIRVJHW · pith_short_16: O4RBBAIRVJHWYRIF · pith_short_8: O4RBBAIR

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/O4RBBAIRVJHWYRIFQTECMVHJUY \
  | 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: 7722108111aa4f6c450584c82654e9a615109319aa8ad9d757f338f2ded5965c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d273381a07dfa44cb03babe933eee1e9ff1369a5ace0307a7d85dc8c7ceb7fa",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-06T21:00:03Z",
    "title_canon_sha256": "756b2abc98b12cfbfa34d96a573f3846335364b1175e890e4a5630d2131f9fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02004",
    "kind": "arxiv",
    "version": 2
  }
}