Pith Number

pith:QNKEE3TF

pith:2016:QNKEE3TFXQX7B2H7KLGOLXTP7G

not attested not anchored not stored refs pending

Line-of-sight effects in strong lensing: Putting theory into practice

Adam Amara, Alexandre Refregier (ETH Zurich), Cyril Welschen, Simon Birrer

arxiv:1610.01599 v2 · 2016-10-05 · 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{QNKEE3TFXQX7B2H7KLGOLXTP7G}

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	2026-05-18T00:45:22.292183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8354426e65bc2ff0e8ff52cce5de6ff9bd8ecd051858b2528d319ee644d90e69

Aliases

arxiv: 1610.01599 · arxiv_version: 1610.01599v2 · doi: 10.48550/arxiv.1610.01599 · pith_short_12: QNKEE3TFXQX7 · pith_short_16: QNKEE3TFXQX7B2H7 · pith_short_8: QNKEE3TF

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/QNKEE3TFXQX7B2H7KLGOLXTP7G \
  | 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: 8354426e65bc2ff0e8ff52cce5de6ff9bd8ecd051858b2528d319ee644d90e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1871e5800f7da43d63f540f859143e9b4dd378f47ea17b5f272c781be60393e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-10-05T20:00:01Z",
    "title_canon_sha256": "35fc847c667bd70dc4fe0c4756609826c1cf80d2cd0bb4b793bfc148c46f87b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01599",
    "kind": "arxiv",
    "version": 2
  }
}