Pith Number

pith:LH6WF4Q6

pith:2022:LH6WF4Q6BZLZTKB7IHHXIVKV74

not attested not anchored not stored refs pending

Analytical approximations for primordial power spectra in a spatially closed emergent universe

Feiquan Tu, Kaituo Zhang, Qihong Huang, Zhenxing Fang

arxiv:2203.06447 v2 · 2022-03-12 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LH6WF4Q6BZLZTKB7IHHXIVKV74}

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	2026-07-05T05:11:37.496434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59fd62f21e0e5799a83f41cf745555ff02143bbf1bc51f88198262f844cd50d5

Aliases

arxiv: 2203.06447 · arxiv_version: 2203.06447v2 · doi: 10.48550/arxiv.2203.06447 · pith_short_12: LH6WF4Q6BZLZ · pith_short_16: LH6WF4Q6BZLZTKB7 · pith_short_8: LH6WF4Q6

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/LH6WF4Q6BZLZTKB7IHHXIVKV74 \
  | 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: 59fd62f21e0e5799a83f41cf745555ff02143bbf1bc51f88198262f844cd50d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce277447ec61410b67aff937101559a1ab1c193b8215bd466f2c0ba808535c04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-03-12T14:40:02Z",
    "title_canon_sha256": "4f61167ecf8298d6ad345519898bdd30ac5f10caa7a1cf43887d3cbdf7e50a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.06447",
    "kind": "arxiv",
    "version": 2
  }
}