Pith Number

pith:77ZJ5F5B

pith:2018:77ZJ5F5BXMZYF4IAAYG3LLN4HR

not attested not anchored not stored refs pending

The two and three-loop matter bispectrum in perturbation theories

Andrei Lazanu, Michele Liguori

arxiv:1803.03184 v2 · 2018-03-08 · 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{77ZJ5F5BXMZYF4IAAYG3LLN4HR}

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	2026-05-18T00:16:50.049252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff29e97a1bb3382f100060db5adbc3c5f0376747fd24e564ee4f95497432701

Aliases

arxiv: 1803.03184 · arxiv_version: 1803.03184v2 · doi: 10.48550/arxiv.1803.03184 · pith_short_12: 77ZJ5F5BXMZY · pith_short_16: 77ZJ5F5BXMZYF4IA · pith_short_8: 77ZJ5F5B

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/77ZJ5F5BXMZYF4IAAYG3LLN4HR \
  | 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: fff29e97a1bb3382f100060db5adbc3c5f0376747fd24e564ee4f95497432701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ee7bedb12c7116fab04c7432766e881e07b966a81bdf0dca44bd5a1595ebe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-03-08T16:20:29Z",
    "title_canon_sha256": "412245e0a8d717a54b4bbfe90387e78c30e3464828c8d60a86d491139f9278d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03184",
    "kind": "arxiv",
    "version": 2
  }
}