Pith Number

pith:IZGSFUOY

pith:2011:IZGSFUOYJQJWYE33QS52MLQTXS

not attested not anchored not stored refs pending

Halos and Voids in f(R) Gravity

Baojiu Li (Durham, Cambridge), Gong-Bo Zhao (Portsmouth), Kazuya Koyama (Portsmouth)

arxiv:1111.2602 v1 · 2011-11-10 · 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{IZGSFUOYJQJWYE33QS52MLQTXS}

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	2026-05-18T03:51:58.417977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464d22d1d84c136c137b84bba62e13bcac199147eb4598b7eb095c6bbe5d6713

Aliases

arxiv: 1111.2602 · arxiv_version: 1111.2602v1 · doi: 10.48550/arxiv.1111.2602 · pith_short_12: IZGSFUOYJQJW · pith_short_16: IZGSFUOYJQJWYE33 · pith_short_8: IZGSFUOY

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/IZGSFUOYJQJWYE33QS52MLQTXS \
  | 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: 464d22d1d84c136c137b84bba62e13bcac199147eb4598b7eb095c6bbe5d6713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f307addf99e328f7a8a4fa6a4c7b7e1ee176f28dce7a53a7f16c7b4e936bd8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-10T21:00:00Z",
    "title_canon_sha256": "51a4390b4165adf6cf2646d4e768de21cbeaa3bdecb545f373185871a496b8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2602",
    "kind": "arxiv",
    "version": 1
  }
}