Pith Number

pith:HDSS5TEK

pith:2010:HDSS5TEKA7JWQYHN4WAWKSPLXZ

not attested not anchored not stored refs pending

Cluster Abundance in f(R) Gravity Models

Fabian Schmidt, Simone Ferraro, Wayne Hu

arxiv:1011.0992 v1 · 2010-11-03 · 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{HDSS5TEKA7JWQYHN4WAWKSPLXZ}

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	2026-05-18T02:23:37.726977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e52ecc8a07d36860ede5816549ebbe59f93429811f6f7f5d82c56fd89355a6

Aliases

arxiv: 1011.0992 · arxiv_version: 1011.0992v1 · doi: 10.48550/arxiv.1011.0992 · pith_short_12: HDSS5TEKA7JW · pith_short_16: HDSS5TEKA7JWQYHN · pith_short_8: HDSS5TEK

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/HDSS5TEKA7JWQYHN4WAWKSPLXZ \
  | 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: 38e52ecc8a07d36860ede5816549ebbe59f93429811f6f7f5d82c56fd89355a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9872f3d8f1885f7ee7c2c6dd9cc7610415831774ffcbfbdcd323b9ea2e9ea07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-11-03T20:00:02Z",
    "title_canon_sha256": "ce953f993d3504808699bce7548c52575630d62a82f104cc37412a37afda4d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0992",
    "kind": "arxiv",
    "version": 1
  }
}