Pith Number

pith:3H3VAR6V

pith:2011:3H3VAR6VRGRTI7ES6P3R64ZFNM

not attested not anchored not stored refs pending

Coarse-Grained Cosmological Perturbation Theory

Gianpiero Mangano, Massimo Pietroni, Matteo Viel, Ninetta Saviano

arxiv:1108.5203 v2 · 2011-08-25 · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H3VAR6VRGRTI7ES6P3R64ZFNM}

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	2026-05-18T02:00:47.885690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f75047d589a3347c92f3f71f73256b27f9a3767ab103e96f03b3e22534eb4d

Aliases

arxiv: 1108.5203 · arxiv_version: 1108.5203v2 · doi: 10.48550/arxiv.1108.5203 · pith_short_12: 3H3VAR6VRGRT · pith_short_16: 3H3VAR6VRGRTI7ES · pith_short_8: 3H3VAR6V

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/3H3VAR6VRGRTI7ES6P3R64ZFNM \
  | 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: d9f75047d589a3347c92f3f71f73256b27f9a3767ab103e96f03b3e22534eb4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ba267b0e9d175c4971d81ab0f13f406f73f7169a60819d82f436cd35f5d129",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-08-25T21:23:38Z",
    "title_canon_sha256": "561b422c5840fbbd3b8300bbf139314b0166ad8fbe0cdc9389896bb48595c412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5203",
    "kind": "arxiv",
    "version": 2
  }
}