Pith Number

pith:GDRB2AIK

pith:2010:GDRB2AIKCEZ2S2MHVCWZIKJ7LG

not attested not anchored not stored refs pending

Nonlinearities in modified gravity cosmology I: signatures of modified gravity in the nonlinear matter power spectrum

Pengjie Zhang, Weiguang Cui, Xiaohu Yang

arxiv:1001.5184 v2 · 2010-01-28 · 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{GDRB2AIKCEZ2S2MHVCWZIKJ7LG}

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	2026-05-18T02:33:49.041387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e21d010a1133a96987a8ad94293f59b0ab28a1d40c71fcdd6b5e1480c28f89

Aliases

arxiv: 1001.5184 · arxiv_version: 1001.5184v2 · doi: 10.48550/arxiv.1001.5184 · pith_short_12: GDRB2AIKCEZ2 · pith_short_16: GDRB2AIKCEZ2S2MH · pith_short_8: GDRB2AIK

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/GDRB2AIKCEZ2S2MHVCWZIKJ7LG \
  | 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: 30e21d010a1133a96987a8ad94293f59b0ab28a1d40c71fcdd6b5e1480c28f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033dcd52595a77f6f6fb1e4c71f08ef48ce77795869bb251c20ca539be598a57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-01-28T14:45:33Z",
    "title_canon_sha256": "8e9f0aaa9ef43283e1c85231840437d9aa301be4d4372002e85daa2ad3478b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5184",
    "kind": "arxiv",
    "version": 2
  }
}