Pith Number

pith:PX3IGNLQ

pith:2021:PX3IGNLQURLECDIZN4OTJMUPCT

not attested not anchored not stored refs pending

Morphological analysis of SZ and X-ray maps of galaxy clusters with Zernike polynomials

Alexander Knebe, Antonio Ferragamo, Elena Rasia, Federico De Luca, Florian Ruppin, Gustavo Yepes, Marco De Petris, Valentina Capalbo, Weiguang Cui

arxiv:2111.01411 v1 · 2021-11-02 · 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{PX3IGNLQURLECDIZN4OTJMUPCT}

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	2026-07-05T03:55:05.370466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df6833570a456410d196f1d34b28f14c417f8b521c3c02e672d1cd789bacc68

Aliases

arxiv: 2111.01411 · arxiv_version: 2111.01411v1 · doi: 10.48550/arxiv.2111.01411 · pith_short_12: PX3IGNLQURLE · pith_short_16: PX3IGNLQURLECDIZ · pith_short_8: PX3IGNLQ

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/PX3IGNLQURLECDIZN4OTJMUPCT \
  | 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: 7df6833570a456410d196f1d34b28f14c417f8b521c3c02e672d1cd789bacc68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4748681e594764283df57cb62c4eb600fcebf58322309446e0266b8acae3bdc0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-02T08:06:08Z",
    "title_canon_sha256": "725a2d150bb75fdb22df609cbbb374c409d3c67644155e370240121083486127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01411",
    "kind": "arxiv",
    "version": 1
  }
}