Pith Number

pith:LXZDZIAU

pith:2013:LXZDZIAUBTSDD3EFC7Y5QCP34P

not attested not anchored not stored refs pending

Gravitational Lensing by a structure in a cosmological background

Javad T. Firouzjaee, M. Parsi Mood, Reza Mansouri

arxiv:1308.4510 v1 · 2013-08-21 · gr-qc · 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{LXZDZIAUBTSDD3EFC7Y5QCP34P}

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	2026-05-18T03:06:05.514569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df23ca0140ce431ec8517f1d809fbe3c2cb5d51be891e3fe0414efea0f854e3

Aliases

arxiv: 1308.4510 · arxiv_version: 1308.4510v1 · doi: 10.48550/arxiv.1308.4510 · pith_short_12: LXZDZIAUBTSD · pith_short_16: LXZDZIAUBTSDD3EF · pith_short_8: LXZDZIAU

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/LXZDZIAUBTSDD3EFC7Y5QCP34P \
  | 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: 5df23ca0140ce431ec8517f1d809fbe3c2cb5d51be891e3fe0414efea0f854e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16fbc6e4290b9179db6ab1943c7ccf933653fb0d96dd7d393fb01bf928e354c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-08-21T08:36:22Z",
    "title_canon_sha256": "a9da5b1b2ebf0e30379b7a9da05993cf4d9240a91aa4b88a2533d3ca9c1a1c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4510",
    "kind": "arxiv",
    "version": 1
  }
}