Pith Number

pith:QWZ7TO7P

pith:2016:QWZ7TO7PLHGWN4BKCWD7APWN7X

not attested not anchored not stored refs pending

A general theory of linear cosmological perturbations: bimetric theories

Macarena Lagos, Pedro G. Ferreira

arxiv:1610.00553 v2 · 2016-10-03 · 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{QWZ7TO7PLHGWN4BKCWD7APWN7X}

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	2026-05-18T00:52:03.855053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b3f9bbef59cd66f02a1587f03ecdfdd703d96ff45c80497713dd34947f1292

Aliases

arxiv: 1610.00553 · arxiv_version: 1610.00553v2 · doi: 10.48550/arxiv.1610.00553 · pith_short_12: QWZ7TO7PLHGW · pith_short_16: QWZ7TO7PLHGWN4BK · pith_short_8: QWZ7TO7P

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/QWZ7TO7PLHGWN4BKCWD7APWN7X \
  | 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: 85b3f9bbef59cd66f02a1587f03ecdfdd703d96ff45c80497713dd34947f1292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3598f0f2502ed7efe681a27c2d1d58ae570e7dd09aa753a72136663bf64e0b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-03T13:53:36Z",
    "title_canon_sha256": "e3c77d705fd425cc1d62480a22ca2185682a78e257f9cab6c2281b4e0d4cda55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00553",
    "kind": "arxiv",
    "version": 2
  }
}