Pith Number

pith:4HSX2FLL

pith:2022:4HSX2FLLQ65PQX5XLENDLCEIDC

not attested not anchored not stored refs pending

A Semi-Analytical Model for the Formation and Evolution of Radio Relics in Galaxy Clusters

Chenxi Shan, Haiguang Xu, Lei Hao, Li Ji, Shida Fan, Xianzhong Zheng, Yihao Zhou, Yongkai Zhu, Yuanyuan Zhao, Zhenghao Zhu, Zhongli Zhang

arxiv:2209.09951 v1 · 2022-09-20 · 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{4HSX2FLLQ65PQX5XLENDLCEIDC}

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	2026-07-05T05:03:31.143192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e57d156b87baf85fb7591a35888818be25902be9577c1b29348fe053639b04

Aliases

arxiv: 2209.09951 · arxiv_version: 2209.09951v1 · doi: 10.48550/arxiv.2209.09951 · pith_short_12: 4HSX2FLLQ65P · pith_short_16: 4HSX2FLLQ65PQX5X · pith_short_8: 4HSX2FLL

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/4HSX2FLLQ65PQX5XLENDLCEIDC \
  | 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: e1e57d156b87baf85fb7591a35888818be25902be9577c1b29348fe053639b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a015708934a98dae6b4054cfcc493f1a33ed3fb5415e7961ad4c35d9631ec6",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-09-20T19:03:01Z",
    "title_canon_sha256": "111a9ab5fd0c6e0767a37cf768c646c6d3a948bf77db8896358d01c4e1241e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.09951",
    "kind": "arxiv",
    "version": 1
  }
}