Pith Number

pith:VDYC2OU4

pith:2006:VDYC2OU4DQDWMH3CIV7W4356ZK

not attested not anchored not stored refs pending

Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points

Eanna E. Flanagan, Ira Wasserman, R. Ali Vanderveld

arxiv:astro-ph/0602476 v2 · 2006-02-21 · 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{VDYC2OU4DQDWMH3CIV7W4356ZK}

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

Alleviating the Hubble Tension with a Local Void and Transitions of the Absolute Magnitude

Receipt and verification

First computed	2026-07-04T16:58:01.658377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f02d3a9c1c07661f62457f6e6fbeca8880fca8b7cf290d12f580a5423dc674

Aliases

arxiv: astro-ph/0602476 · arxiv_version: astro-ph/0602476v2 · doi: 10.48550/arxiv.astro-ph/0602476 · pith_short_12: VDYC2OU4DQDW · pith_short_16: VDYC2OU4DQDWMH3C · pith_short_8: VDYC2OU4

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/VDYC2OU4DQDWMH3CIV7W4356ZK \
  | 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: a8f02d3a9c1c07661f62457f6e6fbeca8880fca8b7cf290d12f580a5423dc674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4332ae2e913d053202c4813fcace43a07c5e8d11542b021196f634393ac2b7e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-02-21T22:08:45Z",
    "title_canon_sha256": "8e6cc6a3dac0f4f5c1ddd7b5edc3d9f2ce5af45ffba94b344a47536db3c69e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0602476",
    "kind": "arxiv",
    "version": 2
  }
}