Pith Number

pith:A257LTLK

pith:2025:A257LTLK6W7V5KM54VTYPZKFQB

not attested not anchored not stored refs pending

Challenges and Opportunities for time-delay cosmography with multi-messenger gravitational lensing

Anowar J. Shajib, Dan Ryczanowski, Graham P. Smith, Nikki Arendse, Simon Birrer

arxiv:2502.04472 v1 · 2025-02-06 · 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{A257LTLK6W7V5KM54VTYPZKFQB}

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	2026-07-05T10:10:52.214054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bbf5cd6af5bf5ea99de56787e545805e34d96580ca18956221f65f04769967

Aliases

arxiv: 2502.04472 · arxiv_version: 2502.04472v1 · doi: 10.48550/arxiv.2502.04472 · pith_short_12: A257LTLK6W7V · pith_short_16: A257LTLK6W7V5KM5 · pith_short_8: A257LTLK

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/A257LTLK6W7V5KM54VTYPZKFQB \
  | 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: 06bbf5cd6af5bf5ea99de56787e545805e34d96580ca18956221f65f04769967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271fdb832d8d763110615561cc7915509649497abd4fb578774305eb3e59976a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-02-06T19:48:26Z",
    "title_canon_sha256": "16ba81908c5b185993b35142d96d64c68841593193fa5744a3546f68cbd2d700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04472",
    "kind": "arxiv",
    "version": 1
  }
}