Pith Number

pith:HBFQ35LQ

pith:2021:HBFQ35LQ3BJ67MRGOYLWOPY27S

not attested not anchored not stored refs pending

Constraints on $f(R)$ and nDGP Modified Gravity Model Parameters with Cluster Abundances and Galaxy Clustering

Georgios Valogiannis, Nicholas Battaglia, Rachel Bean, Rayne Liu

arxiv:2101.08728 v2 · 2021-01-21 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBFQ35LQ3BJ67MRGOYLWOPY27S}

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	2026-07-05T03:45:26.184496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384b0df570d853efb2267617673f1afca940089a2c8bf92f8b00aa2a1f8bda15

Aliases

arxiv: 2101.08728 · arxiv_version: 2101.08728v2 · doi: 10.48550/arxiv.2101.08728 · pith_short_12: HBFQ35LQ3BJ6 · pith_short_16: HBFQ35LQ3BJ67MRG · pith_short_8: HBFQ35LQ

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/HBFQ35LQ3BJ67MRGOYLWOPY27S \
  | 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: 384b0df570d853efb2267617673f1afca940089a2c8bf92f8b00aa2a1f8bda15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c360501790be165c6d9dd01f510c3cee681e07cc9cdb1f66fe0c9865196092",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-01-21T17:10:21Z",
    "title_canon_sha256": "50136bed97d18f9c389bfe6daec602bf284e4a693f7bae466c0aa4115c0d3217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08728",
    "kind": "arxiv",
    "version": 2
  }
}