Pith Number

pith:CKSLQPSK

pith:2008:CKSLQPSKXOOQMS4BGKDKJSUG3L

not attested not anchored not stored refs pending

Pressure gradients, shell crossing singularities and acoustic oscillations - application to inhomogeneous cosmological models

Krzysztof Bolejko, Paul Lasky

arxiv:0809.0334 v1 · 2008-09-02 · astro-ph · 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{CKSLQPSKXOOQMS4BGKDKJSUG3L}

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

Light path averages in spacetimes with non-vanishing average spatial curvature

Receipt and verification

First computed	2026-07-04T17:12:33.221896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a4b83e4abb9d064b813286a4ca86dadc6da773864fd0405758c42f08abd38b

Aliases

arxiv: 0809.0334 · arxiv_version: 0809.0334v1 · doi: 10.48550/arxiv.0809.0334 · pith_short_12: CKSLQPSKXOOQ · pith_short_16: CKSLQPSKXOOQMS4B · pith_short_8: CKSLQPSK

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/CKSLQPSKXOOQMS4BGKDKJSUG3L \
  | 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: 12a4b83e4abb9d064b813286a4ca86dadc6da773864fd0405758c42f08abd38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf8e80ecd44f6928e37f63a9e7858c5b52a58edfa118191450596c963fb38f0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-09-02T04:56:01Z",
    "title_canon_sha256": "aead61ae0ecd4f22527e436e7450541b341c346dac42166d264cc9552971e462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0334",
    "kind": "arxiv",
    "version": 1
  }
}