Pith Number

pith:RTET3O5E

pith:2011:RTET3O5EURVOHQ2SYFQ7LEGULT

not attested not anchored not stored refs pending

Non-linear matter power spectrum from Time Renormalisation Group: efficient computation and comparison with one-loop

Benjamin Audren, Julien Lesgourgues

arxiv:1106.2607 v2 · 2011-06-14 · astro-ph.CO · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTET3O5EURVOHQ2SYFQ7LEGULT}

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	2026-05-18T02:01:37.654081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc93dbba4a46ae3c352c161f590d45cc393da125b6db7829e16035b8f5da59c

Aliases

arxiv: 1106.2607 · arxiv_version: 1106.2607v2 · doi: 10.48550/arxiv.1106.2607 · pith_short_12: RTET3O5EURVO · pith_short_16: RTET3O5EURVOHQ2S · pith_short_8: RTET3O5E

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/RTET3O5EURVOHQ2SYFQ7LEGULT \
  | 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: 8cc93dbba4a46ae3c352c161f590d45cc393da125b6db7829e16035b8f5da59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb35c2f20bb586f9f4202b19af1b4a2c5e8100139ecfe3591fd4f3a2746163d",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-06-14T04:43:44Z",
    "title_canon_sha256": "b3a2c7feb6c6b0fa3e611eb19a2074b396b2ecc0599ee41cf7a98be5eef18b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2607",
    "kind": "arxiv",
    "version": 2
  }
}