Pith Number

pith:BMX3PLDL

pith:2025:BMX3PLDLZ2N6HE6J7FWLL2FQLV

not attested not anchored not stored refs pending

A solution to the Hubble tension with self-interacting ultralight dark matter

Jae-Weon Lee

arxiv:2502.11568 v1 · 2025-02-17 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMX3PLDLZ2N6HE6J7FWLL2FQLV}

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	2026-07-05T10:15:30.931207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b2fb7ac6bce9be393c9f96cb5e8b05d7edd2bb987897ba023f5821a4f6ec851

Aliases

arxiv: 2502.11568 · arxiv_version: 2502.11568v1 · doi: 10.48550/arxiv.2502.11568 · pith_short_12: BMX3PLDLZ2N6 · pith_short_16: BMX3PLDLZ2N6HE6J · pith_short_8: BMX3PLDL

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/BMX3PLDLZ2N6HE6J7FWLL2FQLV \
  | 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: 0b2fb7ac6bce9be393c9f96cb5e8b05d7edd2bb987897ba023f5821a4f6ec851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3fd8f7930bbe5c8878db7992f768432c087cb04fa021e07e9473691afe9d7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-02-17T08:59:02Z",
    "title_canon_sha256": "7fb4740a48271e3a7e3840c3f6bf3f5ee5fb5f890f0f1b45d1f64a000cea1f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.11568",
    "kind": "arxiv",
    "version": 1
  }
}