Pith Number

pith:Z5GIBYW3

pith:2013:Z5GIBYW3JDMHNIJUEMLCTH3GEC

not attested not anchored not stored refs pending

Cosmographic analysis of the equation of state of the universe through Pad\'e approximations

Christine Gruber, Orlando Luongo

arxiv:1309.3215 v1 · 2013-09-12 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5GIBYW3JDMHNIJUEMLCTH3GEC}

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

2 papers in Pith

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

Mapping the redshift drift at various redshifts through cosmography

Receipt and verification

First computed	2026-05-18T02:52:04.163849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4c80e2db48d876a1342316299f66209e221c899441b7347d6786647dce469a

Aliases

arxiv: 1309.3215 · arxiv_version: 1309.3215v1 · doi: 10.48550/arxiv.1309.3215 · pith_short_12: Z5GIBYW3JDMH · pith_short_16: Z5GIBYW3JDMHNIJU · pith_short_8: Z5GIBYW3

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/Z5GIBYW3JDMHNIJUEMLCTH3GEC \
  | 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: cf4c80e2db48d876a1342316299f66209e221c899441b7347d6786647dce469a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca623dc47d4be1d8819cde59e6b8f761f2d3ec3edc7c879d5ce80c82ed848889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-12T16:50:40Z",
    "title_canon_sha256": "e3929b418b1803a117cf19034e2cecfaf1648a9fffebfbf8025acdd8d5165852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3215",
    "kind": "arxiv",
    "version": 1
  }
}