Pith Number

pith:BCMB7YBS

pith:2012:BCMB7YBSOKUYK2EQDFY6WYVU5U

not attested not anchored not stored refs pending

MPTbreeze: A fast renormalized perturbative scheme

Francis Bernardeau, Martin Crocce, Roman Scoccimarro

arxiv:1207.1465 v2 · 2012-07-05 · 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{BCMB7YBSOKUYK2EQDFY6WYVU5U}

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

Vlasov Perturbation Theory applied to $\Lambda$CDM

Receipt and verification

First computed	2026-05-18T01:56:34.089615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08981fe03272a98568901971eb62b4ed380744547ad11cd919b040035ee6d328

Aliases

arxiv: 1207.1465 · arxiv_version: 1207.1465v2 · doi: 10.48550/arxiv.1207.1465 · pith_short_12: BCMB7YBSOKUY · pith_short_16: BCMB7YBSOKUYK2EQ · pith_short_8: BCMB7YBS

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/BCMB7YBSOKUYK2EQDFY6WYVU5U \
  | 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: 08981fe03272a98568901971eb62b4ed380744547ad11cd919b040035ee6d328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1782369fb3735bbe714aaa0bea9815765d19cb62bf53060f9c79b28f275a749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-05T21:18:51Z",
    "title_canon_sha256": "df7546c567604faf2462aa3a018538c3bedf28f29d2e04f4d18d0e1ffbb7b7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1465",
    "kind": "arxiv",
    "version": 2
  }
}