Pith Number

pith:33UFDBUG

pith:2007:33UFDBUGJS5O3DH2Q6ALNMGWX6

not attested not anchored not stored refs pending

Quantization of perturbations during inflation in the 1+3 covariant formalism

Cyril Pitrou, Jean-Philippe Uzan

arxiv:gr-qc/0701121 v2 · 2007-01-22 · gr-qc · 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{33UFDBUGJS5O3DH2Q6ALNMGWX6}

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	2026-07-04T15:22:00.088501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee85186864cbaed8cfa8780b6b0d6bf882ab0eee039c0230030f4e98834804c

Aliases

arxiv: gr-qc/0701121 · arxiv_version: gr-qc/0701121v2 · doi: 10.48550/arxiv.gr-qc/0701121 · pith_short_12: 33UFDBUGJS5O · pith_short_16: 33UFDBUGJS5O3DH2 · pith_short_8: 33UFDBUG

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/33UFDBUGJS5O3DH2Q6ALNMGWX6 \
  | 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: dee85186864cbaed8cfa8780b6b0d6bf882ab0eee039c0230030f4e98834804c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3dd651f45ceaa6f3652457faa91d2c30f4d3ee53e8935876cd8dece349c456",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-01-22T16:06:27Z",
    "title_canon_sha256": "eb905a8d65a8721eb779b344cd06d4fd5dec7d1983a02a5c5817d4a19bdf3c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0701121",
    "kind": "arxiv",
    "version": 2
  }
}