Pith Number

pith:PCS2SKAI

pith:2017:PCS2SKAI7Q7SCZ7KG4IMHKLGUN

not attested not anchored not stored refs pending

A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics

Emilio Bellini, Johannes Noller, Macarena Lagos, Pedro G. Ferreira, Tessa Baker

arxiv:1711.09893 v1 · 2017-11-27 · gr-qc · 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{PCS2SKAI7Q7SCZ7KG4IMHKLGUN}

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

Perturbation Dynamics and Structure Formation in Extended Proca-Nuevo Gravity

Receipt and verification

First computed	2026-05-18T00:20:05.468407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a5a92808fc3f2167ea3710c3a966a377403b84cf78b4079943fdc079ce5eae

Aliases

arxiv: 1711.09893 · arxiv_version: 1711.09893v1 · doi: 10.48550/arxiv.1711.09893 · pith_short_12: PCS2SKAI7Q7S · pith_short_16: PCS2SKAI7Q7SCZ7K · pith_short_8: PCS2SKAI

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/PCS2SKAI7Q7SCZ7KG4IMHKLGUN \
  | 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: 78a5a92808fc3f2167ea3710c3a966a377403b84cf78b4079943fdc079ce5eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97999537abe5e85ea7b19793153b35cc171e18943ed42cfbec482aed3f98c7b6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-11-27T15:21:23Z",
    "title_canon_sha256": "00fe770b61f056b797ffaeb55829a1ec664a9576819637e309b5ec51e25061c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09893",
    "kind": "arxiv",
    "version": 1
  }
}