Pith Number

pith:DPFZB4AP

pith:2007:DPFZB4APJR2WFXCU2BOD6XDTN4

not attested not anchored not stored refs pending

Modified Averaging Processes in Cosmology and the Structured FRW model

Ehsan Kourkchi, Reza Mansouri, Shahram Khosravi

arxiv:0709.2558 v3 · 2007-09-17 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPFZB4APJR2WFXCU2BOD6XDTN4}

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	2026-05-18T02:16:11.198544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcb90f00f4c7562dc54d05c3f5c736f2ec863b9b628ec98678b826d3bf19d73

Aliases

arxiv: 0709.2558 · arxiv_version: 0709.2558v3 · doi: 10.48550/arxiv.0709.2558 · pith_short_12: DPFZB4APJR2W · pith_short_16: DPFZB4APJR2WFXCU · pith_short_8: DPFZB4AP

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/DPFZB4APJR2WFXCU2BOD6XDTN4 \
  | 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: 1bcb90f00f4c7562dc54d05c3f5c736f2ec863b9b628ec98678b826d3bf19d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d9dda1aa3a2d6815f7842c2b25de38479529de119ef83184693bd7d91d5927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-09-17T09:19:00Z",
    "title_canon_sha256": "73cbdc562a9243d9ee79d92468083e915a6a44aa774407b701eb91cead8b4279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2558",
    "kind": "arxiv",
    "version": 3
  }
}