Pith Number

pith:7GBRA7YK

pith:2012:7GBRA7YKSBA5IXL6SRJ4WKU7VF

not attested not anchored not stored refs pending

Towards an understanding of third-order galaxy-galaxy lensing

Daniela K\"ubler, Patrick Simon, Peter Schneider

arxiv:1202.1927 v3 · 2012-02-09 · 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{7GBRA7YKSBA5IXL6SRJ4WKU7VF}

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	2026-05-18T01:58:31.899359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5

Aliases

arxiv: 1202.1927 · arxiv_version: 1202.1927v3 · doi: 10.48550/arxiv.1202.1927 · pith_short_12: 7GBRA7YKSBA5 · pith_short_16: 7GBRA7YKSBA5IXL6 · pith_short_8: 7GBRA7YK

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/7GBRA7YKSBA5IXL6SRJ4WKU7VF \
  | 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: f983107f0a9041d45d7e9453cb2a9fa9630e874a2d4e2827293ea85f426b08a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e411c85516012a9efae39079cf5c23a8223d303a3de5f331df90264702eae9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-02-09T09:33:02Z",
    "title_canon_sha256": "127af6aca5c4694c4a7996c8e46869f499d5675ac89705490a19aaa096a5c7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1927",
    "kind": "arxiv",
    "version": 3
  }
}