Pith Number

pith:ILSNJGPF

pith:2010:ILSNJGPFYXDE3KQ4DC7BDHVGI6

not attested not anchored not stored refs pending

Archimedean-type force in a cosmic dark fluid: I. Exact solutions for the late-time accelerated expansion

Alexander B. Balakin, Vladimir V. Bochkarev

arxiv:1012.2431 v2 · 2010-12-11 · 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{ILSNJGPFYXDE3KQ4DC7BDHVGI6}

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	2026-05-18T04:27:56.359428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e4d499e5c5c64daa1c18be119ea6479a2050d282b43c17c16084b698cd824f

Aliases

arxiv: 1012.2431 · arxiv_version: 1012.2431v2 · doi: 10.48550/arxiv.1012.2431 · pith_short_12: ILSNJGPFYXDE · pith_short_16: ILSNJGPFYXDE3KQ4 · pith_short_8: ILSNJGPF

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/ILSNJGPFYXDE3KQ4DC7BDHVGI6 \
  | 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: 42e4d499e5c5c64daa1c18be119ea6479a2050d282b43c17c16084b698cd824f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757bc7a4c388aae8bd0341b053b6e8c03e2851a003566efd147f799b67bcadaa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-11T07:36:15Z",
    "title_canon_sha256": "a0d24511a0c6b7e89ab8d25da5f26b35ec26d69187971ee8def4f9bb701c57a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2431",
    "kind": "arxiv",
    "version": 2
  }
}