Pith Number

pith:GIFD7FKD

pith:2010:GIFD7FKDPRHED2CF2U5P4GGKE5

not attested not anchored not stored refs pending

Time Delay in Swiss Cheese Gravitational Lensing

Bin Chen, Ronald Kantowski, Xinyu Dai (University of Oklahoma)

arxiv:1006.3500 v1 · 2010-06-17 · 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{GIFD7FKDPRHED2CF2U5P4GGKE5}

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

Gravitational lensing time delay beyond the Shapiro/geometry split

Receipt and verification

First computed	2026-05-18T02:33:16.661556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320a3f95437c4e41e845d53afe18ca2771c28d936a2e8c32237b0b9a5aa890d1

Aliases

arxiv: 1006.3500 · arxiv_version: 1006.3500v1 · doi: 10.48550/arxiv.1006.3500 · pith_short_12: GIFD7FKDPRHE · pith_short_16: GIFD7FKDPRHED2CF · pith_short_8: GIFD7FKD

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/GIFD7FKDPRHED2CF2U5P4GGKE5 \
  | 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: 320a3f95437c4e41e845d53afe18ca2771c28d936a2e8c32237b0b9a5aa890d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021a0ce3a73db1da78045e45cd642eecea54e8364ab86b1d5fa1175e7ca3c6a2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-06-17T15:56:55Z",
    "title_canon_sha256": "eec5ba2e0a2341c761a1d17ec7ed33cd36f9038cdf87b4b867ebef1858a22f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3500",
    "kind": "arxiv",
    "version": 1
  }
}