Pith Number

pith:TTDZ6XZV

pith:2012:TTDZ6XZVLF75DK5VQALHDKUN2S

not attested not anchored not stored refs pending

Computing the Primordial Power Spectra Directly

Maria G. Romania (Crete), N. C. Tsamis (Crete), R. P. Woodard (Florida)

arxiv:1207.3227 v1 · 2012-07-13 · astro-ph.CO · gr-qc · 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{TTDZ6XZVLF75DK5VQALHDKUN2S}

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	2026-05-18T01:56:23.991400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc79f5f35597fd1abb5801671aa8dd4978c689c10fc1bcd41783319e7b49979

Aliases

arxiv: 1207.3227 · arxiv_version: 1207.3227v1 · doi: 10.48550/arxiv.1207.3227 · pith_short_12: TTDZ6XZVLF75 · pith_short_16: TTDZ6XZVLF75DK5V · pith_short_8: TTDZ6XZV

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/TTDZ6XZVLF75DK5VQALHDKUN2S \
  | 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: 9cc79f5f35597fd1abb5801671aa8dd4978c689c10fc1bcd41783319e7b49979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e744079ff902259b53f3857e4a7542f85cf010cff64723948b5deda7e07c957b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-13T13:08:52Z",
    "title_canon_sha256": "002f2981b8ec75803ec49799590e17bd2e60b5387e4ed30be0a80fdedc2ae0ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3227",
    "kind": "arxiv",
    "version": 1
  }
}