Pith Number

pith:WWLXJOMT

pith:2018:WWLXJOMTRQ7ZXKXASDQ6ELIZBL

not attested not anchored not stored refs pending

Strongly gravitational lensed SNe Ia as multi-messengers: Direct test of the Friedmann-Lema\^{\i}tre-Robertson-Walker metric

Jing-Zhao Qi, Marek Biesiada, Shou Cao, Xiaogang Zheng, Xuheng Ding, Zong-Hong Zhu

arxiv:1802.05532 v3 · 2018-02-15 · astro-ph.CO · astro-ph.GA · 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{WWLXJOMTRQ7ZXKXASDQ6ELIZBL}

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	2026-05-17T23:39:49.143001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59774b9938c3f9baae090e1e22d190ae631bdb82eec64afd13405ff8fa295f8

Aliases

arxiv: 1802.05532 · arxiv_version: 1802.05532v3 · doi: 10.48550/arxiv.1802.05532 · pith_short_12: WWLXJOMTRQ7Z · pith_short_16: WWLXJOMTRQ7ZXKXA · pith_short_8: WWLXJOMT

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/WWLXJOMTRQ7ZXKXASDQ6ELIZBL \
  | 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: b59774b9938c3f9baae090e1e22d190ae631bdb82eec64afd13405ff8fa295f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eda3177a1ebeb28ea92919eadd4b3375c70d66fa6bde17f65d0b06b8d43344b",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-02-15T13:59:39Z",
    "title_canon_sha256": "849b0dbd9fbf79ca6168c4f6cd5ec491737151dcfa2f4ff03537a7f45e453434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05532",
    "kind": "arxiv",
    "version": 3
  }
}