Pith Number

pith:3X7EES5C

pith:2018:3X7EES5CJBAIJE6CKPVHQBWXM3

not attested not anchored not stored refs pending

Analysis of the angular dependence of time delay in gravitational lensing

Alba Domi, Chiara Righi, Marco Bonici, Nicola Alchera, Nicola Maggiore, Roberta Cardinale, Silvano Tosi

arxiv:1804.03111 v2 · 2018-04-09 · 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{3X7EES5CJBAIJE6CKPVHQBWXM3}

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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	2026-05-18T00:11:49.445642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfe424ba248408493c253ea7806d766ddbeba999a8cebcf8e1e73d2d4d9f604

Aliases

arxiv: 1804.03111 · arxiv_version: 1804.03111v2 · doi: 10.48550/arxiv.1804.03111 · pith_short_12: 3X7EES5CJBAI · pith_short_16: 3X7EES5CJBAIJE6C · pith_short_8: 3X7EES5C

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/3X7EES5CJBAIJE6CKPVHQBWXM3 \
  | 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: ddfe424ba248408493c253ea7806d766ddbeba999a8cebcf8e1e73d2d4d9f604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73eb1656c385e7e8d74dfaba438b65730fd239d026aaf713fe6617f99c68190f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-04-09T17:18:39Z",
    "title_canon_sha256": "e4357a62583f97827283c21576032e93a25a4b85a292737b182564cb76aa6009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03111",
    "kind": "arxiv",
    "version": 2
  }
}