Pith Number

pith:6WEBHER2

pith:2026:6WEBHER2RMXIXGG3IHCS5HZ6LC

not attested not anchored not stored refs pending

The $\tau$ of Neutral Hydrogen: Increased CMB Optical Depth at Long Wavelengths

Adrian Liu, David Zegeye, Gilbert Holder, Tzu-Ching Chang

arxiv:2605.22934 v1 · 2026-05-21 · 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{6WEBHER2RMXIXGG3IHCS5HZ6LC}

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	2026-05-25T02:01:31.060100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58813923a8b2e8b98db41c52e9f3e58991bc88692acf40ed28ba8230d6d04b2

Aliases

arxiv: 2605.22934 · arxiv_version: 2605.22934v1 · doi: 10.48550/arxiv.2605.22934 · pith_short_12: 6WEBHER2RMXI · pith_short_16: 6WEBHER2RMXIXGG3 · pith_short_8: 6WEBHER2

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/6WEBHER2RMXIXGG3IHCS5HZ6LC \
  | 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: f58813923a8b2e8b98db41c52e9f3e58991bc88692acf40ed28ba8230d6d04b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa0a323e8d8971e244993e8fc3746c97365f155025239c9b35dd5cb98501532",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-21T18:08:56Z",
    "title_canon_sha256": "5164c5c4b677eac2deade8c506e13bc58f4235bb21b3d0072c30e5ed2ec71f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22934",
    "kind": "arxiv",
    "version": 1
  }
}