Pith Number

pith:HHRNNN5A

pith:2001:HHRNNN5APDOX5TW63CLOQQIU3Q

not attested not anchored not stored refs pending

Robustness of the inflationary perturbation spectrum to trans-Planckian physics

A.A. Starobinsky

arxiv:astro-ph/0104043 v2 · 2001-04-03 · astro-ph · 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{HHRNNN5APDOX5TW63CLOQQIU3Q}

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.

Cited by

1 paper in Pith

3d QFT IR divergences as UV divergences in 4d Holographic Cosmology

Receipt and verification

First computed	2026-07-04T15:20:39.344874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e2d6b7a078dd7eceded896e84114dc35054418762de792b6d3e6ff3b1abff6

Aliases

arxiv: astro-ph/0104043 · arxiv_version: astro-ph/0104043v2 · doi: 10.48550/arxiv.astro-ph/0104043 · pith_short_12: HHRNNN5APDOX · pith_short_16: HHRNNN5APDOX5TW6 · pith_short_8: HHRNNN5A

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/HHRNNN5APDOX5TW63CLOQQIU3Q \
  | 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: 39e2d6b7a078dd7eceded896e84114dc35054418762de792b6d3e6ff3b1abff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da5a4b09d7229c46dedfbe1c79d74e446a9df72f1c8234b8e73bb84d99a93dd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-04-03T11:22:26Z",
    "title_canon_sha256": "db886f905c0189681388562d9b8d4b3b67a0ac686c89eabdcdcd0b9bec82527a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0104043",
    "kind": "arxiv",
    "version": 2
  }
}