Pith Number

pith:M7Q2ARZ4

pith:2011:M7Q2ARZ4VJVCTY37MWKKJPVWA4

not attested not anchored not stored refs pending

Caustic Crossing Events and Source Models in Gravitational Lens Systems

A.N. Alexandrov, V.I. Zhdanov, V.M. Sliusar

arxiv:1105.0114 v1 · 2011-04-30 · 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{M7Q2ARZ4VJVCTY37MWKKJPVWA4}

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	2026-05-18T04:23:12.461689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e1a0473caa6a29e37f6594a4beb6070a7861b00c06374a1a38774e746c95cd

Aliases

arxiv: 1105.0114 · arxiv_version: 1105.0114v1 · doi: 10.48550/arxiv.1105.0114 · pith_short_12: M7Q2ARZ4VJVC · pith_short_16: M7Q2ARZ4VJVCTY37 · pith_short_8: M7Q2ARZ4

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/M7Q2ARZ4VJVCTY37MWKKJPVWA4 \
  | 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: 67e1a0473caa6a29e37f6594a4beb6070a7861b00c06374a1a38774e746c95cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725a03617dda5f2e4a16b0f5ddb8b359abdab78e6fd3783113d7bca4d02bf118",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-30T19:31:03Z",
    "title_canon_sha256": "e10d960eda6014ddae9a3cf824a0154268edf537d24af3ab499ec957f9b386f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0114",
    "kind": "arxiv",
    "version": 1
  }
}