Pith Number

pith:IZFM7XB5

pith:2026:IZFM7XB5LTD6KXGWELEWQSJOD3

not attested not anchored not stored refs pending

Gravitational Lensing Effects by Galaxy Clusters on Ionised Bubble Size Distribution during the Epoch of Reionisation

Di Wu, Huanyuan Shan, Nan Li, Zhenghao Zhu

arxiv:2603.11371 v2 · 2026-03-11 · 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{IZFM7XB5LTD6KXGWELEWQSJOD3}

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	2026-07-23T01:24:24.315411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464acfdc3d5cc7e55cd622c968492e1efac60a08624784382c2c7b4d2b97a244

Aliases

arxiv: 2603.11371 · arxiv_version: 2603.11371v2 · doi: 10.48550/arxiv.2603.11371 · pith_short_12: IZFM7XB5LTD6 · pith_short_16: IZFM7XB5LTD6KXGW · pith_short_8: IZFM7XB5

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/IZFM7XB5LTD6KXGWELEWQSJOD3 \
  | 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: 464acfdc3d5cc7e55cd622c968492e1efac60a08624784382c2c7b4d2b97a244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59930998ee198e1bb1a7c45f2c1c9be2e9cff26bbe9a0691f81efebbfc7bcab6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-03-11T23:18:03Z",
    "title_canon_sha256": "7e61c305083da5a4b3c99a637d5faf41609346352c42b653f721f0991059f5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.11371",
    "kind": "arxiv",
    "version": 2
  }
}