Pith Number

pith:YBCF2BDP

pith:2011:YBCF2BDP7SBA3RY2HHDK2GVIUT

not attested not anchored not stored refs pending

Combined constraints on modified Chaplygin gas model from cosmological observed data: Markov Chain Monte Carlo approach

Jianbo Lu, Lixin Xu, Molin Liu, Yabo Wu

arxiv:1105.1870 v1 · 2011-05-10 · 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{YBCF2BDP7SBA3RY2HHDK2GVIUT}

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	2026-05-18T04:22:21.617796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0445d046ffc820dc71a39c6ad1aa8a4fc2ce56c6eb29d9371dce5fc9ea4063a

Aliases

arxiv: 1105.1870 · arxiv_version: 1105.1870v1 · doi: 10.48550/arxiv.1105.1870 · pith_short_12: YBCF2BDP7SBA · pith_short_16: YBCF2BDP7SBA3RY2 · pith_short_8: YBCF2BDP

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/YBCF2BDP7SBA3RY2HHDK2GVIUT \
  | 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: c0445d046ffc820dc71a39c6ad1aa8a4fc2ce56c6eb29d9371dce5fc9ea4063a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7443b3a2eb50c0342cd0555d191bc858fc8ea846452dec7ed8c0cce701221766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-10T07:58:06Z",
    "title_canon_sha256": "70a20c5341e09b8930dbaece093cc0a1822e0646c3f754bf2939fea3206a56a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1870",
    "kind": "arxiv",
    "version": 1
  }
}