Pith Number

pith:KSZQJNJC

pith:2009:KSZQJNJCV5TZKH7SHEVSOX4NNT

not attested not anchored not stored refs pending

Expansion-Free Evolving Spheres Must Have Inhomogeneous Energy Density Distributions

G. Le Denmat, L. Herrera, N.O. Santos

arxiv:0903.4774 v2 · 2009-03-27 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSZQJNJCV5TZKH7SHEVSOX4NNT}

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	2026-05-18T02:14:19.117276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b304b522af67951ff2392b275f8d6ce6dc940542f10cdf588518ad0e053a15

Aliases

arxiv: 0903.4774 · arxiv_version: 0903.4774v2 · doi: 10.48550/arxiv.0903.4774 · pith_short_12: KSZQJNJCV5TZ · pith_short_16: KSZQJNJCV5TZKH7S · pith_short_8: KSZQJNJC

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/KSZQJNJCV5TZKH7SHEVSOX4NNT \
  | 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: 54b304b522af67951ff2392b275f8d6ce6dc940542f10cdf588518ad0e053a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2431c0d3749bfc0207f0c41979eef4ddc8c701ae21a3711866e023d93830ebc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-03-27T11:04:54Z",
    "title_canon_sha256": "1a10dd28814fe3033b99ae61d84bc834d922c9a3cb4642cb605a6e08fdce9dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4774",
    "kind": "arxiv",
    "version": 2
  }
}