Pith Number

pith:HWPYAS32

pith:2007:HWPYAS32VGFO7UFBV2SGDD4HS7

not attested not anchored not stored refs pending

Nonlinear growth in modified gravity theories of dark energy

Istvan Laszlo, Rachel Bean

arxiv:0709.0307 v2 · 2007-09-04 · astro-ph · 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{HWPYAS32VGFO7UFBV2SGDD4HS7}

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	2026-07-04T15:24:38.723018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d9f804b7aa98aefd0a1aea4618f8797fe2292465876988af4c57c9ccaeb07c2

Aliases

arxiv: 0709.0307 · arxiv_version: 0709.0307v2 · doi: 10.48550/arxiv.0709.0307 · pith_short_12: HWPYAS32VGFO · pith_short_16: HWPYAS32VGFO7UFB · pith_short_8: HWPYAS32

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/HWPYAS32VGFO7UFBV2SGDD4HS7 \
  | 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: 3d9f804b7aa98aefd0a1aea4618f8797fe2292465876988af4c57c9ccaeb07c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11fd3254935c4cf24c7cbdfec842dcec157b1145c2ad58461ae244fbbdf5045f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-09-04T15:45:18Z",
    "title_canon_sha256": "0574ef54884aa3c50aee9db8095418d228cc697c6bceee9c2c0e83c174467831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0307",
    "kind": "arxiv",
    "version": 2
  }
}