Pith Number

pith:ALXK66WL

pith:2022:ALXK66WLSN2Q7G4KWITIXKP2RD

not attested not anchored not stored refs pending

A Stochastic Theory of the Hierarchical Clustering III. The Non-universality and Non-stationarity of the Halo Mass Function

A. Lapi, L. Danese, T. Ronconi

arxiv:2211.00399 v1 · 2022-11-01 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALXK66WLSN2Q7G4KWITIXKP2RD}

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.

Cited by

1 paper in Pith

Little ado about everything II: an `emergent' dark energy from structure formation to rule cosmic tensions

Receipt and verification

First computed	2026-07-05T05:25:09.187435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02eeaf7acb93750f9b8ab2268ba9fa88cbbdbd946a12ab6f764897c62a345df6

Aliases

arxiv: 2211.00399 · arxiv_version: 2211.00399v1 · doi: 10.48550/arxiv.2211.00399 · pith_short_12: ALXK66WLSN2Q · pith_short_16: ALXK66WLSN2Q7G4K · pith_short_8: ALXK66WL

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/ALXK66WLSN2Q7G4KWITIXKP2RD \
  | 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: 02eeaf7acb93750f9b8ab2268ba9fa88cbbdbd946a12ab6f764897c62a345df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3c6146cb5d0398a762f2136d71d4d5996fc75d6d8b3577bdbc751458b71497",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-11-01T11:46:31Z",
    "title_canon_sha256": "7522152569d45d61ca2dd31fa96491a91c93a80dc506ac172d98ca3d8de37782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00399",
    "kind": "arxiv",
    "version": 1
  }
}