Pith Number

pith:PB6K2DH6

pith:2016:PB6K2DH63A5STY55BDPPQYX7EV

not attested not anchored not stored refs pending

Cluster abundance in chameleon $f(R)$ gravity I: toward an accurate halo mass function prediction

Baojiu Li, David Rapetti, Lucas Lombriser, Matteo Cataneo

arxiv:1607.08788 v2 · 2016-07-29 · 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{PB6K2DH63A5STY55BDPPQYX7EV}

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	2026-05-18T00:46:40.127459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787cad0cfed83b29e3bd08def862ff2570afc33df84e94b003bd9d86068bf41a

Aliases

arxiv: 1607.08788 · arxiv_version: 1607.08788v2 · doi: 10.48550/arxiv.1607.08788 · pith_short_12: PB6K2DH63A5S · pith_short_16: PB6K2DH63A5STY55 · pith_short_8: PB6K2DH6

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/PB6K2DH63A5STY55BDPPQYX7EV \
  | 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: 787cad0cfed83b29e3bd08def862ff2570afc33df84e94b003bd9d86068bf41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7457f8452ab892a5d96b01aeba6f9abac27e4462908d0ff76ac70d50651ea89a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-07-29T12:54:39Z",
    "title_canon_sha256": "77457969c91387bb130e0da700ce87e555dabb421f4f039518641f01fe779ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08788",
    "kind": "arxiv",
    "version": 2
  }
}