Pith Number

pith:SK75HUL3

pith:2019:SK75HUL34C5BYF22IIYO5FTAIY

not attested not anchored not stored refs pending

Model-independent determination of cosmic curvature based on Pad\'{e} approximation

Shi-Yu Li, Tingting Zhang, Tong-Jie Zhang, Yun-Long Li

arxiv:1910.09794 v1 · 2019-10-22 · 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{SK75HUL34C5BYF22IIYO5FTAIY}

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	2026-07-05T00:31:25.729330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92bfd3d17be0ba1c175a4230ee9660463f87d5000c00a49d983cb09de24d346f

Aliases

arxiv: 1910.09794 · arxiv_version: 1910.09794v1 · doi: 10.48550/arxiv.1910.09794 · pith_short_12: SK75HUL34C5B · pith_short_16: SK75HUL34C5BYF22 · pith_short_8: SK75HUL3

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/SK75HUL34C5BYF22IIYO5FTAIY \
  | 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: 92bfd3d17be0ba1c175a4230ee9660463f87d5000c00a49d983cb09de24d346f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e3a9d4de18ea4317e8c0310a87397ecbab8e92040874cfea72c2b05062c1e01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-10-22T07:03:41Z",
    "title_canon_sha256": "164f9d022d2cae70f3a5eafef31785c912aebb493f91f14986fc0516b1a09f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09794",
    "kind": "arxiv",
    "version": 1
  }
}