Pith Number

pith:VATYHBYS

pith:2008:VATYHBYSRNMCUJMMOBLEWEOVWT

not attested not anchored not stored refs pending

Cosmological density perturbations in modified gravity theories

A. de la Cruz-Dombriz, A. Dobado, A. L. Maroto

arxiv:0812.3048 v1 · 2008-12-16 · 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{VATYHBYSRNMCUJMMOBLEWEOVWT}

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	2026-05-18T02:15:04.653919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8278387128b582a258c70564b11d5b4c56dc2a0cd3e7dadebcdcc1a24b9ab25

Aliases

arxiv: 0812.3048 · arxiv_version: 0812.3048v1 · doi: 10.48550/arxiv.0812.3048 · pith_short_12: VATYHBYSRNMC · pith_short_16: VATYHBYSRNMCUJMM · pith_short_8: VATYHBYS

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/VATYHBYSRNMCUJMMOBLEWEOVWT \
  | 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: a8278387128b582a258c70564b11d5b4c56dc2a0cd3e7dadebcdcc1a24b9ab25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b886bfa64552dcd0fc168dd5682ba4b6bee83bc5950198827051c3dec7d5aa0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-16T13:18:28Z",
    "title_canon_sha256": "d72814bf93a5005fd8b0d94db1e62a765228bbeb87cb7ee99250161a7a97bd77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3048",
    "kind": "arxiv",
    "version": 1
  }
}