Pith Number

pith:W6GHRN7K

pith:2013:W6GHRN7KTPL3C65KSGHDCGR4ZE

not attested not anchored not stored refs pending

Observational constraints on non-flat dynamical dark energy cosmological models

Bharat Ratra, Data Mania, Omer Farooq

arxiv:1308.0834 v2 · 2013-08-04 · astro-ph.CO · 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{W6GHRN7KTPL3C65KSGHDCGR4ZE}

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	2026-05-18T00:48:21.068861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78c78b7ea9bd7b17baa918e311a3cc935664862730df8e940adcea2a4b64b51

Aliases

arxiv: 1308.0834 · arxiv_version: 1308.0834v2 · doi: 10.48550/arxiv.1308.0834 · pith_short_12: W6GHRN7KTPL3 · pith_short_16: W6GHRN7KTPL3C65K · pith_short_8: W6GHRN7K

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/W6GHRN7KTPL3C65KSGHDCGR4ZE \
  | 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: b78c78b7ea9bd7b17baa918e311a3cc935664862730df8e940adcea2a4b64b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b8a70620ae7bfa8950e0d8376107ad25380e14c418ecb9f31f81727cf141aa",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-08-04T18:32:57Z",
    "title_canon_sha256": "da6b19306f9f98039403ab022fa08fb81ec3083ba00e41845a4c65d8c7de6f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0834",
    "kind": "arxiv",
    "version": 2
  }
}