Pith Number

pith:MRT46TFM

pith:2022:MRT46TFMUSFDV2PFTL47THEHHV

not attested not anchored not stored refs pending

CMB power spectrum in the emergent universe with k-essence

Bing Xu, Feiquan Tu, He Huang, Kaituo Zhang, Qihong Huang

arxiv:2210.16166 v3 · 2022-10-28 · 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{MRT46TFMUSFDV2PFTL47THEHHV}

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	2026-07-05T06:08:52.478334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6467cf4caca48a3ae9e59af9f99c873d752fd60ac4f327aedb4dced11ea345c4

Aliases

arxiv: 2210.16166 · arxiv_version: 2210.16166v3 · doi: 10.48550/arxiv.2210.16166 · pith_short_12: MRT46TFMUSFD · pith_short_16: MRT46TFMUSFDV2PF · pith_short_8: MRT46TFM

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/MRT46TFMUSFDV2PFTL47THEHHV \
  | 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: 6467cf4caca48a3ae9e59af9f99c873d752fd60ac4f327aedb4dced11ea345c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418746e8ac095a8036d7b8d3fd29521f2a073279b208bf5262a13d7f4a9c87d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-10-28T14:40:45Z",
    "title_canon_sha256": "1db36bc61e5639229580c4ab2ba985356386b6753f575eaeda75f15b6d0e6854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16166",
    "kind": "arxiv",
    "version": 3
  }
}