Pith Number

pith:PBBZUE7V

pith:2014:PBBZUE7VDLTBJSTVVSFU5NIAMW

not attested not anchored not stored refs pending

Response function of the large-scale structure of the universe to the small scale inhomogeneities

Atsushi Taruya (YITP, Francis Bernardeau (IAP, IPHT), Kavli IPMU), Takahiro Nishimichi (IAP

arxiv:1411.2970 v4 · 2014-11-11 · 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{PBBZUE7VDLTBJSTVVSFU5NIAMW}

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

Post-collapse Lagrangian perturbation theory in three dimensions

Receipt and verification

First computed	2026-05-18T01:03:45.266815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78439a13f51ae614ca75ac8b4eb50065a213e263ffa154ad1fb3a56a7f703ae9

Aliases

arxiv: 1411.2970 · arxiv_version: 1411.2970v4 · doi: 10.48550/arxiv.1411.2970 · pith_short_12: PBBZUE7VDLTB · pith_short_16: PBBZUE7VDLTBJSTV · pith_short_8: PBBZUE7V

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/PBBZUE7VDLTBJSTVVSFU5NIAMW \
  | 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: 78439a13f51ae614ca75ac8b4eb50065a213e263ffa154ad1fb3a56a7f703ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d1868b64f333c9a2bf3361ff18c42abf5ced0b8e2378d74ee4e84e5b49c501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-11-11T21:00:01Z",
    "title_canon_sha256": "3f5e7f26e5b8630db65d6f76611858aa8a050a92e42f7c291c7967523ba44586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2970",
    "kind": "arxiv",
    "version": 4
  }
}