Pith Number

pith:KMU6KYGD

pith:2011:KMU6KYGD3O4XBN22QZQ7WLRSYW

not attested not anchored not stored refs pending

The distance duality relation and the temperature profile of Galaxy Clusters

Shuo Cao, Zong-Hong Zhu

arxiv:1102.2750 v1 · 2011-02-14 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMU6KYGD3O4XBN22QZQ7WLRSYW}

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	2026-05-18T04:28:46.558880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5329e560c3dbb970b75a8661fb2e32c597802a92a5ba49446f5d91a45e6d55d2

Aliases

arxiv: 1102.2750 · arxiv_version: 1102.2750v1 · doi: 10.48550/arxiv.1102.2750 · pith_short_12: KMU6KYGD3O4X · pith_short_16: KMU6KYGD3O4XBN22 · pith_short_8: KMU6KYGD

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/KMU6KYGD3O4XBN22QZQ7WLRSYW \
  | 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: 5329e560c3dbb970b75a8661fb2e32c597802a92a5ba49446f5d91a45e6d55d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710f8ed65d3c9bce33d20852c431cc2fa07bebe3a9db6308cdce53170ca9a05d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-14T12:50:40Z",
    "title_canon_sha256": "682d624368d75878cd2d280e9d049242dcb060e08219bea8dc50183fa34f8c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2750",
    "kind": "arxiv",
    "version": 1
  }
}