Pith Number

pith:4FWILE4L

pith:2009:4FWILE4L7D5DKGQPJSTELM6T4I

not attested not anchored not stored refs pending

Obtaining the Time Evolution for Spherically Symmetric Lema\^{i}tre-Tolman-Bondi Models Given Data on Our Past Light Cone

M.E. Araujo, W.R. Stoeger

arxiv:0904.0730 v2 · 2009-04-04 · 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{4FWILE4L7D5DKGQPJSTELM6T4I}

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	2026-05-18T02:34:59.950014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e16c85938bf8fa351a0f4ca645b3d3e213ef17ac102015675d1139185f936bdb

Aliases

arxiv: 0904.0730 · arxiv_version: 0904.0730v2 · doi: 10.48550/arxiv.0904.0730 · pith_short_12: 4FWILE4L7D5D · pith_short_16: 4FWILE4L7D5DKGQP · pith_short_8: 4FWILE4L

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/4FWILE4L7D5DKGQPJSTELM6T4I \
  | 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: e16c85938bf8fa351a0f4ca645b3d3e213ef17ac102015675d1139185f936bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8e9a5f915cf9d6e3903c012cec5ca6e7b48b023e18f8672ef16749a151291c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-04-04T17:23:01Z",
    "title_canon_sha256": "dbf2a54207471742bba4e8bc08050c4bf1190bf9d16e102be16c1a65826714d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0730",
    "kind": "arxiv",
    "version": 2
  }
}