Pith Number

pith:MZ5RS5M2

pith:2011:MZ5RS5M2K5R4QSP5QAP6T45A7J

not attested not anchored not stored refs pending

Constraints on $\Lambda(t)$CDM models as holographic and agegraphic dark energy with the observational Hubble parameter data

Tong-Jie Zhang, Wen-Biao Liu, Zhong-Xu Zhai

arxiv:1109.1661 v1 · 2011-09-08 · 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{MZ5RS5M2K5R4QSP5QAP6T45A7J}

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	2026-05-18T04:13:38.644416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667b19759a5763c849fd801fe9f3a0fa6c982b0c29ae6c28759abba210c2bba8

Aliases

arxiv: 1109.1661 · arxiv_version: 1109.1661v1 · doi: 10.48550/arxiv.1109.1661 · pith_short_12: MZ5RS5M2K5R4 · pith_short_16: MZ5RS5M2K5R4QSP5 · pith_short_8: MZ5RS5M2

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/MZ5RS5M2K5R4QSP5QAP6T45A7J \
  | 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: 667b19759a5763c849fd801fe9f3a0fa6c982b0c29ae6c28759abba210c2bba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296fee74f0f8d0b0cd66d1951fd362cfc59067d2dfd899f70cbe4891ac029b02",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-08T08:52:29Z",
    "title_canon_sha256": "3363de99d3103c82341fbf1efeded9b04f453edb94f74cf1f60c25fe2b08d230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1661",
    "kind": "arxiv",
    "version": 1
  }
}