Pith Number

pith:NRFIZQCP

pith:2011:NRFIZQCP6UXPOOJJWUPQM554BR

not attested not anchored not stored refs pending

Exact spherically-symmetric inhomogeneous model with n perfect fluids

Mikko Paakkonen, Valerio Marra

arxiv:1105.6099 v3 · 2011-05-30 · 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{NRFIZQCP6UXPOOJJWUPQM554BR}

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

Inhomogeneous model with a space dependent Cosmological Constant

Receipt and verification

First computed	2026-05-18T04:04:54.817601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4a8cc04ff52ef73929b51f0677bc0c5349393b5a5016ec7941a083d200bf2a

Aliases

arxiv: 1105.6099 · arxiv_version: 1105.6099v3 · doi: 10.48550/arxiv.1105.6099 · pith_short_12: NRFIZQCP6UXP · pith_short_16: NRFIZQCP6UXPOOJJ · pith_short_8: NRFIZQCP

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/NRFIZQCP6UXPOOJJWUPQM554BR \
  | 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: 6c4a8cc04ff52ef73929b51f0677bc0c5349393b5a5016ec7941a083d200bf2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d3b8aceab31cd017d533d91048b5eb2caa03a483614e0726e95d4cbc7301b1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-30T20:00:05Z",
    "title_canon_sha256": "21ea9a7d1421d122e42712a0b5945be89f22ee32facd2ebf8b980f7fe5d9fb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6099",
    "kind": "arxiv",
    "version": 3
  }
}