Pith Number

pith:AZUKXT4P

pith:2013:AZUKXT4PNB7LHQIWT4M7DVXHAW

not attested not anchored not stored refs pending

Cosmological Applications of Pade Approximant

Hao Wei, Xiao-Peng Yan, Ya-Nan Zhou

arxiv:1312.1117 v3 · 2013-12-04 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZUKXT4PNB7LHQIWT4M7DVXHAW}

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.

Cited by

1 paper in Pith

Model-independent test of the cosmic distance duality relation with recent observational data

Receipt and verification

First computed	2026-05-18T03:00:14.402874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0668abcf8f687eb3c1169f19f1d6e7058c04605331f93bc9df316769b627a593

Aliases

arxiv: 1312.1117 · arxiv_version: 1312.1117v3 · doi: 10.48550/arxiv.1312.1117 · pith_short_12: AZUKXT4PNB7L · pith_short_16: AZUKXT4PNB7LHQIW · pith_short_8: AZUKXT4P

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/AZUKXT4PNB7LHQIWT4M7DVXHAW \
  | 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: 0668abcf8f687eb3c1169f19f1d6e7058c04605331f93bc9df316769b627a593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df47637d88e10328c9a5c4806e1f005cf5ae9715caae46929c21f16ee35f223",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-04T11:45:01Z",
    "title_canon_sha256": "8f248df2ccf8a9460a8456171b9a7019d8bf09185b015f2c9fc6a3331c68f90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1117",
    "kind": "arxiv",
    "version": 3
  }
}