Pith Number

pith:WMDL4ETW

pith:2010:WMDL4ETWBRSMZ65IHQY5N5BQYU

not attested not anchored not stored refs pending

Mass discrepancy in galaxy clusters as a result of the offset between dark matter and baryon distributions

Bo Qin, Hongsheng Zhao, Huanyuan Shan

arxiv:1006.3484 v1 · 2010-06-17 · 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{WMDL4ETWBRSMZ65IHQY5N5BQYU}

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	2026-05-18T02:06:45.092597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b306be12760c64ccfba83c31d6f430c52d9835835cac5134a17ca519e0812293

Aliases

arxiv: 1006.3484 · arxiv_version: 1006.3484v1 · doi: 10.48550/arxiv.1006.3484 · pith_short_12: WMDL4ETWBRSM · pith_short_16: WMDL4ETWBRSMZ65I · pith_short_8: WMDL4ETW

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/WMDL4ETWBRSMZ65IHQY5N5BQYU \
  | 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: b306be12760c64ccfba83c31d6f430c52d9835835cac5134a17ca519e0812293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77c9619becd1106ae399ed39a18e1840618a17ab0c580050b43b1d0c34b6dd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-06-17T14:44:02Z",
    "title_canon_sha256": "ef77000791441abf2609207d233076dac51f8029f3a1882916c2f69542534cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3484",
    "kind": "arxiv",
    "version": 1
  }
}