Pith Number

pith:Q4QCL7WS

pith:2006:Q4QCL7WSLHZGLS6GVMQUYHR6XT

not attested not anchored not stored refs pending

Statefinder Parameters for Interacting Phantom Energy with Dark Matter

Baorong Chang, Chengwu Zhang, Hongya Liu, Lixin Xu, Yongli Ping

arxiv:astro-ph/0612616 v3 · 2006-12-21 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4QCL7WSLHZGLS6GVMQUYHR6XT}

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	2026-05-18T04:38:37.084184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872025fed259f265cbc6ab214c1e3ebcc8b0b89c1db82a4fd74708ec92fb98a8

Aliases

arxiv: astro-ph/0612616 · arxiv_version: astro-ph/0612616v3 · doi: 10.48550/arxiv.astro-ph/0612616 · pith_short_12: Q4QCL7WSLHZG · pith_short_16: Q4QCL7WSLHZGLS6G · pith_short_8: Q4QCL7WS

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/Q4QCL7WSLHZGLS6GVMQUYHR6XT \
  | 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: 872025fed259f265cbc6ab214c1e3ebcc8b0b89c1db82a4fd74708ec92fb98a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb48af1f9eb532b82743096d28e40132875982a519c19b7c71b49e54273971d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-21T04:10:19Z",
    "title_canon_sha256": "63ca8bde7ac6b370a9d14a49a608930f3dfa802570bb67c2c631377e6cd96d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612616",
    "kind": "arxiv",
    "version": 3
  }
}