Pith Number

pith:NILTLJ6J

pith:2024:NILTLJ6JPP7D6477IEPEV6TPLN

not attested not anchored not stored refs pending

Pre-Big-Bang Cosmology Cannot Explain NANOGrav 15-year Signal

Lang Liu, Qin Tan, You Wu

arxiv:2411.16505 v4 · 2024-11-25 · astro-ph.CO · 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{NILTLJ6JPP7D6477IEPEV6TPLN}

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	2026-07-05T11:14:51.000924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1735a7c97bfe3f73ff411e4afa6f5b79fe1de362ad83e1d8162205da490fb5

Aliases

arxiv: 2411.16505 · arxiv_version: 2411.16505v4 · doi: 10.48550/arxiv.2411.16505 · pith_short_12: NILTLJ6JPP7D · pith_short_16: NILTLJ6JPP7D6477 · pith_short_8: NILTLJ6J

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/NILTLJ6JPP7D6477IEPEV6TPLN \
  | 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: 6a1735a7c97bfe3f73ff411e4afa6f5b79fe1de362ad83e1d8162205da490fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496d10140b3fd7cacbcd72b2010b08fa99e9aea7ac6c5b46b191ad1bec083464",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-11-25T15:42:44Z",
    "title_canon_sha256": "b11696cfc0bc283ef1a66b4a8aefc251bd9719d6cde1672cf68eb72dbea6456b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16505",
    "kind": "arxiv",
    "version": 4
  }
}