Pith Number

pith:TSJFWES2

pith:2024:TSJFWES2MZVFXLEWND7OOMJP6U

not attested not anchored not stored refs pending

Accurate method for ultralight axion CMB and matter power spectra

Daniel Grin, Rayne Liu, Wayne Hu

arxiv:2412.15192 v1 · 2024-12-19 · 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{TSJFWES2MZVFXLEWND7OOMJP6U}

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

The Atacama Cosmology Telescope: Probing new signatures of ultralight axions with gravitational lensing

Receipt and verification

First computed	2026-07-05T09:51:58.984296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c925b125a666a5bac9668fee7312ff508522c4e8ba40d7f0c79c865cc1d2b60

Aliases

arxiv: 2412.15192 · arxiv_version: 2412.15192v1 · doi: 10.48550/arxiv.2412.15192 · pith_short_12: TSJFWES2MZVF · pith_short_16: TSJFWES2MZVFXLEW · pith_short_8: TSJFWES2

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/TSJFWES2MZVFXLEWND7OOMJP6U \
  | 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: 9c925b125a666a5bac9668fee7312ff508522c4e8ba40d7f0c79c865cc1d2b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e5e213dc0bf5714300111ff42df454042f04abde5004a3dc28455a8b70e189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-19T18:57:34Z",
    "title_canon_sha256": "2fbe91b66ed88dfdce7cf05c1810200da5d9b9c658ddce433a1d257a8bcb1b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15192",
    "kind": "arxiv",
    "version": 1
  }
}