Pith Number

pith:HZR225ER

pith:2017:HZR225ERFG2QSR2FGUBMVOKJKV

not attested not anchored not stored refs pending

Linear perturbations in spherically symmetric dust cosmologies including a cosmological constant

Matthias Bartelmann, Sven Meyer

arxiv:1709.04834 v1 · 2017-09-14 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZR225ERFG2QSR2FGUBMVOKJKV}

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	2026-05-18T00:27:18.986896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e63ad749129b50947453502cab949555dbee9dd55288cdc176125ff45905855

Aliases

arxiv: 1709.04834 · arxiv_version: 1709.04834v1 · doi: 10.48550/arxiv.1709.04834 · pith_short_12: HZR225ERFG2Q · pith_short_16: HZR225ERFG2QSR2F · pith_short_8: HZR225ER

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/HZR225ERFG2QSR2FGUBMVOKJKV \
  | 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: 3e63ad749129b50947453502cab949555dbee9dd55288cdc176125ff45905855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6da852d60efb805c0f2ba1dcc6c1a1b79efb34cf6f143106aee7d525228be3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-09-14T15:02:41Z",
    "title_canon_sha256": "99da9ad927285f35cec048f68a98129b263e7ad72fbf8f6959fc91e550834d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04834",
    "kind": "arxiv",
    "version": 1
  }
}