Pith Number

pith:AZFRUHRN

pith:2016:AZFRUHRNWG7QC622MQ2TSHARRA

not attested not anchored not stored refs pending

Relativistic Aberration and the Cosmological Constant in Gravitational Lensing I: Introduction

Dmitri Lebedev, Kayll Lake

arxiv:1609.05183 v1 · 2016-09-16 · 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{AZFRUHRNWG7QC622MQ2TSHARRA}

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

General Expressions for Measurable Parameters in Curved Spacetime

Receipt and verification

First computed	2026-05-18T01:04:31.209675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064b1a1e2db1bf017b5a6435391c118807caad71f884587ad440fbcffa8a70bb

Aliases

arxiv: 1609.05183 · arxiv_version: 1609.05183v1 · doi: 10.48550/arxiv.1609.05183 · pith_short_12: AZFRUHRNWG7Q · pith_short_16: AZFRUHRNWG7QC622 · pith_short_8: AZFRUHRN

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/AZFRUHRNWG7QC622MQ2TSHARRA \
  | 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: 064b1a1e2db1bf017b5a6435391c118807caad71f884587ad440fbcffa8a70bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8081c9c3e765b54526736cd667c7822a1ea59e9fa70098bb28f5a9620941bc26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-16T19:16:52Z",
    "title_canon_sha256": "98495e88745c95dd8ee56a42d7d0bb06b5609e3518a4d12347dee460ae0998eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05183",
    "kind": "arxiv",
    "version": 1
  }
}