Pith Number

pith:FN3CP5RK

pith:2022:FN3CP5RKHLHMPIHB2ZXFF6SLDC

not attested not anchored not stored refs pending

N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity

Emmanuel N. Saridakis, Jiajun Zhang, Xin Ren, Yi-Fu Cai, Yiqi Huang

arxiv:2204.06845 v1 · 2022-04-14 · 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{FN3CP5RKHLHMPIHB2ZXFF6SLDC}

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

$f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

Receipt and verification

First computed	2026-07-05T05:05:32.964057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7627f62a3acec7a0e1d66e52fa4b1883f16557fa1d8699c1bed14be28205d2

Aliases

arxiv: 2204.06845 · arxiv_version: 2204.06845v1 · doi: 10.48550/arxiv.2204.06845 · pith_short_12: FN3CP5RKHLHM · pith_short_16: FN3CP5RKHLHMPIHB · pith_short_8: FN3CP5RK

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/FN3CP5RKHLHMPIHB2ZXFF6SLDC \
  | 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: 2b7627f62a3acec7a0e1d66e52fa4b1883f16557fa1d8699c1bed14be28205d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38dde6ad80891f733aac25fced5d9d2174b21b10374789d4b89704c8c4d703df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-04-14T09:40:12Z",
    "title_canon_sha256": "652a06f96accef570590a7d20d7fba39839ff3feaf2963a2095650f67bcc8a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.06845",
    "kind": "arxiv",
    "version": 1
  }
}