Pith Number

pith:YCBDCRRW

pith:2010:YCBDCRRWWRLBTII3U3NSXK3AQW

not attested not anchored not stored refs pending

CMB acoustic scale in the entropic-like accelerating universe

Alessandro Gruppuso, Roberto Casadio

arxiv:1005.0790 v2 · 2010-05-05 · gr-qc · astro-ph.CO · 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{YCBDCRRWWRLBTII3U3NSXK3AQW}

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	2026-05-18T04:16:12.219635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c082314636b45619a11ba6db2bab6085a450c7c4f76d5e5804a72d869b344384

Aliases

arxiv: 1005.0790 · arxiv_version: 1005.0790v2 · doi: 10.48550/arxiv.1005.0790 · pith_short_12: YCBDCRRWWRLB · pith_short_16: YCBDCRRWWRLBTII3 · pith_short_8: YCBDCRRW

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/YCBDCRRWWRLBTII3U3NSXK3AQW \
  | 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: c082314636b45619a11ba6db2bab6085a450c7c4f76d5e5804a72d869b344384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f3fcb3674b818144b3a4e92bb8d6c7c76242324962eb7ac3f2486d2a75d04e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-05T16:47:13Z",
    "title_canon_sha256": "f3762fbd85bb0c2368c6f9473fba147e38553d5e2e68cb00225f7a97ff578710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0790",
    "kind": "arxiv",
    "version": 2
  }
}