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Pith Number

pith:PE2FOPEZ

pith:2025:PE2FOPEZMJ2MCKFZU6O2FU4YSZ
not attested not anchored not stored refs pending

Modeling and estimating skewed and heavy-tailed populations via unsupervised mixture models

Flavio Santi, Marco Bee

arxiv:2505.22507 v1 · 2025-05-28 · stat.ME

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PE2FOPEZMJ2MCKFZU6O2FU4YSZ}

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 2026-07-05T11:11:25.494730Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7934573c996274c128b9a79da2d3989653f87cf79d214636a89c233f39a0feb9

Aliases

arxiv: 2505.22507 · arxiv_version: 2505.22507v1 · doi: 10.48550/arxiv.2505.22507 · pith_short_12: PE2FOPEZMJ2M · pith_short_16: PE2FOPEZMJ2MCKFZ · pith_short_8: PE2FOPEZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PE2FOPEZMJ2MCKFZU6O2FU4YSZ \
  | 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: 7934573c996274c128b9a79da2d3989653f87cf79d214636a89c233f39a0feb9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "70ef43d5f6d6972c30b77ce8622209326249856257b9afd423953a532bc99be5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-05-28T15:54:40Z",
    "title_canon_sha256": "3c4e962147897c57d9f3cead98e568ef2a1dbd8c7603c91732b19204cdfec158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22507",
    "kind": "arxiv",
    "version": 1
  }
}