Pith Number

pith:PNK6DNMF

pith:2009:PNK6DNMFLCSDKVV4YJGGK2LBE2

not attested not anchored not stored refs pending

Power-law solutions and accelerated expansion in scalar-tensor theories

C.E.M. Batista, W. Zimdahl

arxiv:0912.0998 v2 · 2009-12-05 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNK6DNMFLCSDKVV4YJGGK2LBE2}

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	2026-05-18T02:33:57.471731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b55e1b58558a43556bcc24c656961269a28c7f99c9b927b1dd1e8185bc5e409

Aliases

arxiv: 0912.0998 · arxiv_version: 0912.0998v2 · doi: 10.48550/arxiv.0912.0998 · pith_short_12: PNK6DNMFLCSD · pith_short_16: PNK6DNMFLCSDKVV4 · pith_short_8: PNK6DNMF

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/PNK6DNMFLCSDKVV4YJGGK2LBE2 \
  | 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: 7b55e1b58558a43556bcc24c656961269a28c7f99c9b927b1dd1e8185bc5e409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f9ab83b1805280868b04f5d485cbc9f27e86638e16b65620a639c013099ecd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-05T10:45:37Z",
    "title_canon_sha256": "cf342120065b762eadf73deab3866df098d22a792c0c903ea64311812599ba10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0998",
    "kind": "arxiv",
    "version": 2
  }
}