Pith Number

pith:33X5T3ZJ

pith:2021:33X5T3ZJU43D7UROCDONARHDX6

not attested not anchored not stored refs pending

Axion as a fuzzy-dark-matter candidate: Proofs in different gauges

Hyerim Noh, Jai-chan Hwang

arxiv:2109.05436 v4 · 2021-09-12 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33X5T3ZJU43D7UROCDONARHDX6}

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.

Cited by

1 paper in Pith

Gravitational Wave Birefringence from Fuzzy Dark Matter

Receipt and verification

First computed	2026-07-05T04:02:56.529400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deefd9ef29a7363fd22e10dcd044e3bfb3d45d74fcc1e5e48df46fdd0eccb349

Aliases

arxiv: 2109.05436 · arxiv_version: 2109.05436v4 · doi: 10.48550/arxiv.2109.05436 · pith_short_12: 33X5T3ZJU43D · pith_short_16: 33X5T3ZJU43D7URO · pith_short_8: 33X5T3ZJ

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/33X5T3ZJU43D7UROCDONARHDX6 \
  | 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: deefd9ef29a7363fd22e10dcd044e3bfb3d45d74fcc1e5e48df46fdd0eccb349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b5c10ca3d5e32a2b0846c012e39df9beaf839e0397aad498198bdce6a35406",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-12T05:09:03Z",
    "title_canon_sha256": "c0becd23b6264da7d221e51bfc995ad08875210765e3b7008043cd4028a1fbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05436",
    "kind": "arxiv",
    "version": 4
  }
}