Pith Number

pith:LIEYM4S3

pith:2018:LIEYM4S33C2AAZJIS5QODMUUTM

not attested not anchored not stored refs pending

Thirty-fold: Extreme gravitational lensing of a quiescent galaxy at $z=1.6$

A. Man, G. Brammer, H. Ebeling, J. Richard, J. Zabl, M. Stockmann, S. Toft

arxiv:1802.00133 v1 · 2018-02-01 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIEYM4S33C2AAZJIS5QODMUUTM}

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	2026-05-18T00:24:36.715301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0986725bd8b40065289760e1b2949b2bc5c46b27bcc9e0b8bbe638c34dfa32

Aliases

arxiv: 1802.00133 · arxiv_version: 1802.00133v1 · doi: 10.48550/arxiv.1802.00133 · pith_short_12: LIEYM4S33C2A · pith_short_16: LIEYM4S33C2AAZJI · pith_short_8: LIEYM4S3

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/LIEYM4S33C2AAZJIS5QODMUUTM \
  | 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: 5a0986725bd8b40065289760e1b2949b2bc5c46b27bcc9e0b8bbe638c34dfa32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c28d51b3b1fefda70d3636310caaa42150ebeaf5c6ea59d889a026cebd39b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-02-01T02:54:28Z",
    "title_canon_sha256": "337ec0eca08e849c65f2a38cba68b4783b38248cb26b1aaf9f7f3418d9fb9ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00133",
    "kind": "arxiv",
    "version": 1
  }
}