Pith Number

pith:WA6OPU6G

pith:2016:WA6OPU6GZBFQJ7H6TJUS6OQ6R5

not attested not anchored not stored refs pending

Testing the gas mass density profile of galaxy clusters with distance duality relation

Marek Biesiada, Shuo Cao, Xiaogang Zheng, Zong-Hong Zhu

arxiv:1601.00409 v1 · 2016-01-04 · 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{WA6OPU6GZBFQJ7H6TJUS6OQ6R5}

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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

1 paper in Pith

Model-independent test of the cosmic distance duality relation with recent observational data

Receipt and verification

First computed	2026-05-18T00:26:47.078872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03ce7d3c6c84b04fcfe9a692f3a1e8f7ed0b237c1b5dcaadbb14eab2bbb095d

Aliases

arxiv: 1601.00409 · arxiv_version: 1601.00409v1 · doi: 10.48550/arxiv.1601.00409 · pith_short_12: WA6OPU6GZBFQ · pith_short_16: WA6OPU6GZBFQJ7H6 · pith_short_8: WA6OPU6G

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/WA6OPU6GZBFQJ7H6TJUS6OQ6R5 \
  | 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: b03ce7d3c6c84b04fcfe9a692f3a1e8f7ed0b237c1b5dcaadbb14eab2bbb095d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09fd28382270346f186215fb17d77564cd228928ccbf21e9b0746b096c81e22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-01-04T08:22:55Z",
    "title_canon_sha256": "7c0cc903085e15cb2034343bb183adb8d829fc00022e08110d60fafeeaead655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00409",
    "kind": "arxiv",
    "version": 1
  }
}