Pith Number

pith:PY5GAI55

pith:2012:PY5GAI557ZEC4SWZ6IVCWNWSNP

not attested not anchored not stored refs pending

Perturbation Theory Trispectrum in the Time Renormalisation Approach

Gero J\"urgens, Matthias Bartelmann

arxiv:1204.6524 v1 · 2012-04-29 · 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{PY5GAI557ZEC4SWZ6IVCWNWSNP}

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	2026-05-18T03:42:13.223004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e3a6023bdfe482e4ad9f22a2b36d26bfaa7db69a22719aee6ccab965b887de3

Aliases

arxiv: 1204.6524 · arxiv_version: 1204.6524v1 · doi: 10.48550/arxiv.1204.6524 · pith_short_12: PY5GAI557ZEC · pith_short_16: PY5GAI557ZEC4SWZ · pith_short_8: PY5GAI55

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/PY5GAI557ZEC4SWZ6IVCWNWSNP \
  | 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: 7e3a6023bdfe482e4ad9f22a2b36d26bfaa7db69a22719aee6ccab965b887de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f276c694994c7e207919daec9ab18b93cc88252c901d04eb8f1079a5e2db4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-29T21:48:10Z",
    "title_canon_sha256": "3e71702488587c4b8a46e760d268ceb22b44cc41f4c2032d612ada23225750b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6524",
    "kind": "arxiv",
    "version": 1
  }
}