Pith Number

pith:4WMNUPTD

pith:2011:4WMNUPTDE2WISRQRZPMHSRPSJB

not attested not anchored not stored refs pending

The Microlensing Properties of a Sample of 87 Lensed Quasars

Ana M. Mosquera, Christopher S. Kochanek

arxiv:1104.2356 v2 · 2011-04-13 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WMNUPTDE2WISRQRZPMHSRPSJB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:15:16.284828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e598da3e6326ac894611cbd87945f24869308dbcd0f3da374ee0dd88bbc5b64b

Aliases

arxiv: 1104.2356 · arxiv_version: 1104.2356v2 · doi: 10.48550/arxiv.1104.2356 · pith_short_12: 4WMNUPTDE2WI · pith_short_16: 4WMNUPTDE2WISRQR · pith_short_8: 4WMNUPTD

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/4WMNUPTDE2WISRQRZPMHSRPSJB \
  | 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: e598da3e6326ac894611cbd87945f24869308dbcd0f3da374ee0dd88bbc5b64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1f4599f8105948b99c0534469352a5d8a047bc308adc9430db55b2107f7f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-13T00:58:10Z",
    "title_canon_sha256": "7336e244d3ee9692807f93283259d047f899cf72f999fae74a7c70827b56d0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2356",
    "kind": "arxiv",
    "version": 2
  }
}