Pith Number

pith:2PXPF3LS

pith:2026:2PXPF3LSMW3WG3RLTWSH35ZUEC

not attested not anchored not stored refs pending

A New Constraint on the Optical Depth from the Reionization History Independent of CMB Large-Scale E-Mode Polarization

Akinori Matsumoto, Fumihiro Naokawa, Hiroya Umeda, Masami Ouchi, Minami Nakane, Tran Thi Thai, Yuichi Harikane, Yuta Kageura

arxiv:2601.09644 v2 · 2026-01-14 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PXPF3LSMW3WG3RLTWSH35ZUEC}

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

6 papers in Pith

The Status of Single Scalar Field Dark Energy

A self-consistent analytical model for both the photoionization rate and reionization history

A hidden reionization prior biases cosmological inference

Cosmological Concordance in an Especially Opaque Universe: A Tentative Cosmological Detection of Physical Neutrino Mass in $\Lambda$CDM

Fireworks at Cosmic Dawn: relieving BAO-CMB tensions with the Pop III.1 Flash

Receipt and verification

First computed	2026-08-03T01:27:51.814540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3eef2ed7265b7636e2b9da47df73420a8d6d2cca139fe67dadbfaf78545c5fc

Aliases

arxiv: 2601.09644 · arxiv_version: 2601.09644v2 · doi: 10.48550/arxiv.2601.09644 · pith_short_12: 2PXPF3LSMW3W · pith_short_16: 2PXPF3LSMW3WG3RL · pith_short_8: 2PXPF3LS

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/2PXPF3LSMW3WG3RLTWSH35ZUEC \
  | 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: d3eef2ed7265b7636e2b9da47df73420a8d6d2cca139fe67dadbfaf78545c5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1567d8bf4102274b9f99c9df2536292b0286fd98530ac8f72af00a63bed08a56",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-01-14T17:28:14Z",
    "title_canon_sha256": "cfe31d4fddffef87ee33df2847bf219999e2866c7bb71bbd2d9a1ea1d90d0c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.09644",
    "kind": "arxiv",
    "version": 2
  }
}