Pith Number

pith:W6QRBBLC

pith:2012:W6QRBBLCFFBGBL2SZIHTHWOWOV

not attested not anchored not stored refs pending

Spherical Collapse in covariant Galileon theory

Emilio Bellini, Nicola Bartolo, Sabino Matarrese

arxiv:1202.2712 v2 · 2012-02-13 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6QRBBLCFFBGBL2SZIHTHWOWOV}

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

Testing General Relativity with Present and Future Astrophysical Observations

Receipt and verification

First computed	2026-05-18T03:06:52.036205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a1108562294260af52ca0f33d9d6755fc60dad188190c9f12350ab9f0ba7db

Aliases

arxiv: 1202.2712 · arxiv_version: 1202.2712v2 · doi: 10.48550/arxiv.1202.2712 · pith_short_12: W6QRBBLCFFBG · pith_short_16: W6QRBBLCFFBGBL2S · pith_short_8: W6QRBBLC

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/W6QRBBLCFFBGBL2SZIHTHWOWOV \
  | 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: b7a1108562294260af52ca0f33d9d6755fc60dad188190c9f12350ab9f0ba7db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aabd4e7ce55fe231dd1c703cc02e210b3996086fe90768e25437ac3d274f0f6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-02-13T12:46:39Z",
    "title_canon_sha256": "e82ef83ae42f7ad1289fc11ec70a862bbca9c6e2fa30db4776ae52190a85e8db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2712",
    "kind": "arxiv",
    "version": 2
  }
}