Pith Number

pith:BMI6MVPG

pith:2013:BMI6MVPG5QHDDPQK6EZQZ76MDV

not attested not anchored not stored refs pending

The effects of structure anisotropy on lensing observables in an exact general relativistic setting for precision cosmology

Austin Peel (The University of Texas at Dallas), M. A. Troxel, Mustapha Ishak

arxiv:1311.5936 v2 · 2013-11-23 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMI6MVPG5QHDDPQK6EZQZ76MDV}

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	2026-05-18T01:46:06.734263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b11e655e6ec0e31be0af1330cffcc1d4520268ebb5da92a45a172cbe38b6ba9

Aliases

arxiv: 1311.5936 · arxiv_version: 1311.5936v2 · doi: 10.48550/arxiv.1311.5936 · pith_short_12: BMI6MVPG5QHD · pith_short_16: BMI6MVPG5QHDDPQK · pith_short_8: BMI6MVPG

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/BMI6MVPG5QHDDPQK6EZQZ76MDV \
  | 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: 0b11e655e6ec0e31be0af1330cffcc1d4520268ebb5da92a45a172cbe38b6ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c14e390e12412f01105bb280162725ebc53871712d7ae1e528f1d7c32e99907",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-23T00:24:06Z",
    "title_canon_sha256": "f69f5f402772e4a3573177e0707e6c9524becb5f90d8be2f338caf77367b0f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5936",
    "kind": "arxiv",
    "version": 2
  }
}