Pith Number

pith:UP4JA4LD

pith:2019:UP4JA4LDEX4NGNHIO5WK3GE7M7

not attested not anchored not stored refs pending

Astrometric requirements for strong lensing time-delay cosmography

Simon Birrer, Tommaso Treu

arxiv:1904.10965 v3 · 2019-04-24 · astro-ph.CO · 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{UP4JA4LDEX4NGNHIO5WK3GE7M7}

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	2026-07-04T23:58:48.649439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f890716325f8d334e8776cad989f67d5e1bd5576b47ff5e2f1aba3944adafa

Aliases

arxiv: 1904.10965 · arxiv_version: 1904.10965v3 · doi: 10.48550/arxiv.1904.10965 · pith_short_12: UP4JA4LDEX4N · pith_short_16: UP4JA4LDEX4NGNHI · pith_short_8: UP4JA4LD

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/UP4JA4LDEX4NGNHIO5WK3GE7M7 \
  | 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: a3f890716325f8d334e8776cad989f67d5e1bd5576b47ff5e2f1aba3944adafa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df2c06b74f1ac9a63745c2939025dbb430742eb887ec7d1a3bd3ea5dda6017a",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-04-24T18:00:00Z",
    "title_canon_sha256": "b2b2d8f908e94ffb3ab52398f557403c306cd1f70ab821c7077bb56f21f6fc5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10965",
    "kind": "arxiv",
    "version": 3
  }
}