Pith Number

pith:WTB4J375

pith:2017:WTB4J375NBXTIAIVY7XPUJJ3DW

not attested not anchored not stored refs pending

Towards a new proposal for the time delay in gravitational lensing

Marco Bonici, Nicola Alchera, Nicola Maggiore

arxiv:1709.09055 v1 · 2017-09-26 · 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{WTB4J375NBXTIAIVY7XPUJJ3DW}

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

Gravitational lensing time delay beyond the Shapiro/geometry split

Receipt and verification

First computed	2026-05-18T00:34:21.281150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c3c4effd686f340115c7eefa253b1da05f42ecf25e0d435f0eae9d1114eca7

Aliases

arxiv: 1709.09055 · arxiv_version: 1709.09055v1 · doi: 10.48550/arxiv.1709.09055 · pith_short_12: WTB4J375NBXT · pith_short_16: WTB4J375NBXTIAIV · pith_short_8: WTB4J375

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/WTB4J375NBXTIAIVY7XPUJJ3DW \
  | 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: b4c3c4effd686f340115c7eefa253b1da05f42ecf25e0d435f0eae9d1114eca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07784f799ae907b8bfd576241adbffcd49487ebb1674cf23db726b3becb9b3ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-09-26T14:35:40Z",
    "title_canon_sha256": "160957f050b57731b545e4a378ff584532e7c80eafa5493508de56e809c7754a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09055",
    "kind": "arxiv",
    "version": 1
  }
}