Pith Number

pith:X5UKNRIH

pith:2015:X5UKNRIH7P2U6V64PNX6SFTEMQ

not attested not anchored not stored refs pending

Probing gravitational non-minimal coupling with dark energy surveys

Chao-Qiang Geng, Chung-Chi Lee, Yi-Peng Wu

arxiv:1512.04019 v2 · 2015-12-13 · 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{X5UKNRIH7P2U6V64PNX6SFTEMQ}

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	2026-05-18T00:50:01.747238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf68a6c507fbf54f57dc7b6fe916646436a09d3b93c5462d7ffd83492baf1d83

Aliases

arxiv: 1512.04019 · arxiv_version: 1512.04019v2 · doi: 10.48550/arxiv.1512.04019 · pith_short_12: X5UKNRIH7P2U · pith_short_16: X5UKNRIH7P2U6V64 · pith_short_8: X5UKNRIH

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/X5UKNRIH7P2U6V64PNX6SFTEMQ \
  | 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: bf68a6c507fbf54f57dc7b6fe916646436a09d3b93c5462d7ffd83492baf1d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa30bf04211be7d110c53b6c2028375cce834f532b3253c4e68e3a58754ca165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-13T08:59:29Z",
    "title_canon_sha256": "7b35965e28242e7970248813df1c798ea9aa27d8126a6789cb9afb8b764fc043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04019",
    "kind": "arxiv",
    "version": 2
  }
}