Pith Number

pith:XIDSAGYZ

pith:2013:XIDSAGYZ7VTD27X6YHC4HVPHKD

not attested not anchored not stored refs pending

Exact Mapping between Tensor and Most General Scalar Power Spectra

Christophe Ringeval, Jose Beltran Jimenez, Marcello Musso

arxiv:1303.2788 v2 · 2013-03-12 · astro-ph.CO · gr-qc · hep-ph · 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{XIDSAGYZ7VTD27X6YHC4HVPHKD}

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	2026-05-18T03:14:19.716875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba07201b19fd663d7efec1c5c3d5e750e79467ca9cae66a82614d3c14f5b890f

Aliases

arxiv: 1303.2788 · arxiv_version: 1303.2788v2 · doi: 10.48550/arxiv.1303.2788 · pith_short_12: XIDSAGYZ7VTD · pith_short_16: XIDSAGYZ7VTD27X6 · pith_short_8: XIDSAGYZ

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/XIDSAGYZ7VTD27X6YHC4HVPHKD \
  | 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: ba07201b19fd663d7efec1c5c3d5e750e79467ca9cae66a82614d3c14f5b890f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280362b11643085ef2a2c6f656c04a6447a16f709e371ce2d7ff078ae499b62e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-03-12T06:51:18Z",
    "title_canon_sha256": "36956d681fa666ff8202318e22e601288df0a97980af0107208447a26098b4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2788",
    "kind": "arxiv",
    "version": 2
  }
}