pith. sign in
Pith Number

pith:WZFAPNEN

pith:2021:WZFAPNENH7WKVH7P4HXA5VPQI7
not attested not anchored not stored refs pending

Mass Estimation of Planck Galaxy Clusters using Deep Learning

Daniel de Andres, Florian Ruppin, Gianmarco Aversano, Gustavo Yepes, Ichraf Lahouli, Mahmoud Jarraya, Marco De Petris, Romain Dupuis, Weiguang Cui

arxiv:2111.01933 v2 · 2021-11-02 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZFAPNENH7WKVH7P4HXA5VPQI7}

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 2026-07-05T03:55:07.457591Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b64a07b48d3fecaa9fefe1ee0ed5f047d6f745c64f0f6d5f0f4c3f0e6246a07a

Aliases

arxiv: 2111.01933 · arxiv_version: 2111.01933v2 · doi: 10.48550/arxiv.2111.01933 · pith_short_12: WZFAPNENH7WK · pith_short_16: WZFAPNENH7WKVH7P · pith_short_8: WZFAPNEN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZFAPNENH7WKVH7P4HXA5VPQI7 \
  | 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: b64a07b48d3fecaa9fefe1ee0ed5f047d6f745c64f0f6d5f0f4c3f0e6246a07a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "32872662ac9a0c4babf709af38be9b2fb2bc96db177be4d6cd08d1a13767d68f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-02T22:47:27Z",
    "title_canon_sha256": "9392d7cb21d7458e7901d246c0f25a8be7f6f2b424c560b0d5626c6f5623e89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01933",
    "kind": "arxiv",
    "version": 2
  }
}