Pith Number

pith:5ROC3V77

pith:2013:5ROC3V775XI6BRBDCLDR4NPHBF

not attested not anchored not stored refs pending

Spherical collapse and halo mass function in f(R) theories

Ixandra Achitouv, Jochen Weller, Michael Kopp, Stephen A. Appleby

arxiv:1306.3233 v2 · 2013-06-13 · 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{5ROC3V775XI6BRBDCLDR4NPHBF}

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

2 papers in Pith

Studying spherical collapse and its implications in the Eddington-inspired Born-Infeld gravity theory

Receipt and verification

First computed	2026-05-18T03:06:22.001157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5c2dd7ffedd1e0c42312c71e35e7094738a5ec30131e066a193763458e8b21

Aliases

arxiv: 1306.3233 · arxiv_version: 1306.3233v2 · doi: 10.48550/arxiv.1306.3233 · pith_short_12: 5ROC3V775XI6 · pith_short_16: 5ROC3V775XI6BRBD · pith_short_8: 5ROC3V77

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/5ROC3V775XI6BRBDCLDR4NPHBF \
  | 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: ec5c2dd7ffedd1e0c42312c71e35e7094738a5ec30131e066a193763458e8b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af057495fe2b8df81984dc0714c0c94a8f948aba6715fdba266b4f6deeebfc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-06-13T20:00:23Z",
    "title_canon_sha256": "2fe0a8a24e0c5f9007d5bd0ef9610a71c231addb97d98d04a4f41da0582b8dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3233",
    "kind": "arxiv",
    "version": 2
  }
}