Pith Number

pith:QBPTKPDO

pith:2020:QBPTKPDO7WATFFBWZN4UE6RYOT

not attested not anchored not stored refs pending

The impact of line-of-sight structures on measuring $H_0$ with strong lensing time-delays

Christoph Becker, Nan Li, Simon Dye

arxiv:2006.08540 v3 · 2020-06-15 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBPTKPDO7WATFFBWZN4UE6RYOT}

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	2026-07-05T02:33:18.153589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805f353c6efd81329436cb79427a3874ee40f836e9b3e6c181271733daac87cb

Aliases

arxiv: 2006.08540 · arxiv_version: 2006.08540v3 · doi: 10.48550/arxiv.2006.08540 · pith_short_12: QBPTKPDO7WAT · pith_short_16: QBPTKPDO7WATFFBW · pith_short_8: QBPTKPDO

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/QBPTKPDO7WATFFBWZN4UE6RYOT \
  | 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: 805f353c6efd81329436cb79427a3874ee40f836e9b3e6c181271733daac87cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa11e62272147b776375135f878c5eee8652faf282407721a7af29fe13f86af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-06-15T16:49:01Z",
    "title_canon_sha256": "c7879ce804e1a740cfa138077722a230044e32e0f201125a4f91c42662096402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08540",
    "kind": "arxiv",
    "version": 3
  }
}