Pith Number

pith:WM6ZVVXN

pith:2012:WM6ZVVXNHIXXZCDMHGZRWGDXFH

not attested not anchored not stored refs pending

Chameleon f(R) gravity in the virialized cluster

Baojiu Li, Gong-Bo Zhao, Kazuya Koyama, Lucas Lombriser

arxiv:1203.5125 v2 · 2012-03-22 · 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{WM6ZVVXNHIXXZCDMHGZRWGDXFH}

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	2026-05-18T03:08:38.570656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33d9ad6ed3a2f7c886c39b31b187729dc30aa8545b49a989ca40a85399b93a7

Aliases

arxiv: 1203.5125 · arxiv_version: 1203.5125v2 · doi: 10.48550/arxiv.1203.5125 · pith_short_12: WM6ZVVXNHIXX · pith_short_16: WM6ZVVXNHIXXZCDM · pith_short_8: WM6ZVVXN

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/WM6ZVVXNHIXXZCDMHGZRWGDXFH \
  | 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: b33d9ad6ed3a2f7c886c39b31b187729dc30aa8545b49a989ca40a85399b93a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ac7cbec868d26296895e1ac39af27492d61077d87aa54741d7da931addc6d2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-22T20:59:00Z",
    "title_canon_sha256": "833b5ee52e044b6fe31f3e5aeb9a37448d266dcfca481fa535e64c92e2fe6a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5125",
    "kind": "arxiv",
    "version": 2
  }
}