Pith Number

pith:FBPFUJDL

pith:2023:FBPFUJDLDXFODJDO6QSO2HOSTT

not attested not anchored not stored refs pending

Model-Independent Determination of $H_0$ and $\Omega_{K,0}$ using Time-Delay Galaxy Lenses and Gamma-Ray Bursts

En-Wei Liang, Jun-Jie Wei, Shen-Shi Du, Zhi-Qiang You, Zong-Hong Zhu, Zu-Cheng Chen

arxiv:2302.13887 v1 · 2023-02-27 · 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{FBPFUJDLDXFODJDO6QSO2HOSTT}

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	2026-07-05T10:40:31.981860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285e5a246b1dcae1a46ef424ed1dd29cdf3861c01f5047593aef654c4190a6c9

Aliases

arxiv: 2302.13887 · arxiv_version: 2302.13887v1 · doi: 10.48550/arxiv.2302.13887 · pith_short_12: FBPFUJDLDXFO · pith_short_16: FBPFUJDLDXFODJDO · pith_short_8: FBPFUJDL

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/FBPFUJDLDXFODJDO6QSO2HOSTT \
  | 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: 285e5a246b1dcae1a46ef424ed1dd29cdf3861c01f5047593aef654c4190a6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ddeedb19c45bb61f1a26c9269a458f8e9bf104ca3d8709ee4de37bb5684d2e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-02-27T15:33:07Z",
    "title_canon_sha256": "d32ebe2a2c39a11c9ca1e17c3e95c76b1fa78016fbc14b1e82571ba9eec09d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.13887",
    "kind": "arxiv",
    "version": 1
  }
}