Pith Number

pith:FJZ53MI2

pith:2021:FJZ53MI2CPCUSZJ6EL55RQ6ML2

not attested not anchored not stored refs pending

A Stochastic Theory of the Hierarchical Clustering II. Halo progenitor mass function and large-scale bias

Andrea Lapi, Luigi Danese

arxiv:2103.05279 v1 · 2021-03-09 · 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{FJZ53MI2CPCUSZJ6EL55RQ6ML2}

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	2026-07-05T02:33:30.537238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a73ddb11a13c549653e22fbd8c3cc5eb5b78c6d6fd27af4498c0fe046c2c3dc

Aliases

arxiv: 2103.05279 · arxiv_version: 2103.05279v1 · doi: 10.48550/arxiv.2103.05279 · pith_short_12: FJZ53MI2CPCU · pith_short_16: FJZ53MI2CPCUSZJ6 · pith_short_8: FJZ53MI2

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/FJZ53MI2CPCUSZJ6EL55RQ6ML2 \
  | 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: 2a73ddb11a13c549653e22fbd8c3cc5eb5b78c6d6fd27af4498c0fe046c2c3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8038126a5e58662b011eb0d6b0d0bbe47456891c9c047bb36687ddf3f1a8b9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-03-09T08:06:19Z",
    "title_canon_sha256": "e2dacbdb26cd666b3adc3b2ce3f74edb5a54c9177e12c95d7f21842d3f638b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.05279",
    "kind": "arxiv",
    "version": 1
  }
}