Pith Number

pith:BYK5FGIY

pith:2016:BYK5FGIYBYGWTNFDWEHX4DMHG4

not attested not anchored not stored refs pending

What are $Omh^2(z_1,z_2)$ and $Om(z_1,z_2)$ diagnostics telling us in light of $H(z)$ data?

Marek Biesiada, Shuo Cao, Xiaogang Zheng, Xuheng Ding, Zonghong Zhu

arxiv:1604.07910 v1 · 2016-04-27 · 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{BYK5FGIYBYGWTNFDWEHX4DMHG4}

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	2026-05-18T00:26:46.965904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54

Aliases

arxiv: 1604.07910 · arxiv_version: 1604.07910v1 · doi: 10.48550/arxiv.1604.07910 · pith_short_12: BYK5FGIYBYGW · pith_short_16: BYK5FGIYBYGWTNFD · pith_short_8: BYK5FGIY

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/BYK5FGIYBYGWTNFDWEHX4DMHG4 \
  | 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: 0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513452b8e881cfb3e4087f141bb5632556cff573f31798642c2d48160ae164f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-27T02:38:40Z",
    "title_canon_sha256": "85d4b237cc92173a519723c49458ae0da8a24a71f556457eeb81fcf565655d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07910",
    "kind": "arxiv",
    "version": 1
  }
}