Pith Number

pith:NVETLMTC

pith:2024:NVETLMTCEQPPZKZIMHIKVA2NMW

not attested not anchored not stored refs pending

An analytical approximation of the evolution of the primordial curvature perturbation in the ultraslow-roll inflation

Ji-Xiang Zhao, Nan Li

arxiv:2403.01416 v2 · 2024-03-03 · astro-ph.CO · gr-qc · hep-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{NVETLMTCEQPPZKZIMHIKVA2NMW}

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	2026-07-05T07:54:09.026133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4935b262241efcab2861d0aa834d65a47db709eab2a81807a94674876f800b

Aliases

arxiv: 2403.01416 · arxiv_version: 2403.01416v2 · doi: 10.48550/arxiv.2403.01416 · pith_short_12: NVETLMTCEQPP · pith_short_16: NVETLMTCEQPPZKZI · pith_short_8: NVETLMTC

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/NVETLMTCEQPPZKZIMHIKVA2NMW \
  | 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: 6d4935b262241efcab2861d0aa834d65a47db709eab2a81807a94674876f800b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ba8b71d8bd16d7bd39360a977048198d42d36fb52629cca65429aa921e3c0f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-03-03T07:04:03Z",
    "title_canon_sha256": "46c30ecb11a5c62fa10867bda4503b1b96641678c4496ef164f05db9ccd7f0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.01416",
    "kind": "arxiv",
    "version": 2
  }
}