Pith Number

pith:GLE2XRTA

pith:2011:GLE2XRTASU2MJ4WT3IYVALWVJU

not attested not anchored not stored refs pending

Constraints on cosmological models from strong gravitational lensing systems

Marek Biesiada, Shuo Cao, Wlodzimierz Godlowski, Yu Pan, Zong-Hong Zhu

arxiv:1105.6226 v5 · 2011-05-31 · 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{GLE2XRTASU2MJ4WT3IYVALWVJU}

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.

Cited by

1 paper in Pith

Study of dark interactions through strong gravitational lenses

Receipt and verification

First computed	2026-05-18T02:01:45.627894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c9abc6609534c4f2d3da31502ed54d0137fcd5833e5e9949b884f148f7294d

Aliases

arxiv: 1105.6226 · arxiv_version: 1105.6226v5 · doi: 10.48550/arxiv.1105.6226 · pith_short_12: GLE2XRTASU2M · pith_short_16: GLE2XRTASU2MJ4WT · pith_short_8: GLE2XRTA

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/GLE2XRTASU2MJ4WT3IYVALWVJU \
  | 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: 32c9abc6609534c4f2d3da31502ed54d0137fcd5833e5e9949b884f148f7294d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73bb8b4454a693b680fdab652722056579f6acd39a898425baae49be1ca1afd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-31T09:45:20Z",
    "title_canon_sha256": "b8dfe14ebb26fd509f5497e29e2c686bcf542271a6b0c45f1be30df797d510f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6226",
    "kind": "arxiv",
    "version": 5
  }
}