Pith Number

pith:3TSMEV4K

pith:2011:3TSMEV4KYOBORQ6CEED4G6HGET

not attested not anchored not stored refs pending

The polytropic approximation and X-ray scaling relations: constraints on gas and dark matter profiles for galaxy groups and clusters

Paolo S. Coppi, Pedro R. Capelo, Priyamvada Natarajan

arxiv:1111.5573 v2 · 2011-11-23 · astro-ph.CO · astro-ph.GA · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TSMEV4KYOBORQ6CEED4G6HGET}

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	2026-05-18T01:59:26.183305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce4c2578ac382e8c3c22107c378e624ff51887b62caab72a31d65e05ee5ba66

Aliases

arxiv: 1111.5573 · arxiv_version: 1111.5573v2 · doi: 10.48550/arxiv.1111.5573 · pith_short_12: 3TSMEV4KYOBO · pith_short_16: 3TSMEV4KYOBORQ6C · pith_short_8: 3TSMEV4K

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/3TSMEV4KYOBORQ6CEED4G6HGET \
  | 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: dce4c2578ac382e8c3c22107c378e624ff51887b62caab72a31d65e05ee5ba66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e366edd283cbbd9e682c8cd36e8fa801e96bfbf46ea995e190c5c7eb42f594",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-23T17:59:06Z",
    "title_canon_sha256": "de3bf0118066c57da4b90c72d7a5527473c1f3b6f0445cabf1e0544627152499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5573",
    "kind": "arxiv",
    "version": 2
  }
}