Pith Number

pith:KJFYUQED

pith:2013:KJFYUQED5WJL4Y5WHKCX5EXYZ4

not attested not anchored not stored refs pending

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

Lixin Xu, M. Sami, Ozgur Akarsu, R. Myrzakulov, Suresh Kumar

arxiv:1307.4911 v4 · 2013-07-18 · gr-qc · 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{KJFYUQED5WJL4Y5WHKCX5EXYZ4}

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	2026-05-18T03:02:17.502829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

524b8a4083ed92be63b63a857e92f8cf1705e9e1632576e5a5b2afc4f84e7419

Aliases

arxiv: 1307.4911 · arxiv_version: 1307.4911v4 · doi: 10.48550/arxiv.1307.4911 · pith_short_12: KJFYUQED5WJL · pith_short_16: KJFYUQED5WJL4Y5W · pith_short_8: KJFYUQED

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/KJFYUQED5WJL4Y5WHKCX5EXYZ4 \
  | 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: 524b8a4083ed92be63b63a857e92f8cf1705e9e1632576e5a5b2afc4f84e7419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077fcc7143ba82ca818d1e6be8a1a14875cad51bd03c053172896735c4d78bed",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-07-18T11:43:35Z",
    "title_canon_sha256": "f972fecfeb3c957c24d4783767775cadb7880696437eaa9e43a69ebde0cb74b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4911",
    "kind": "arxiv",
    "version": 4
  }
}