Pith Number

pith:YJEIWZKJ

pith:2011:YJEIWZKJYTAPNFE6PXDAYGTPXO

not attested not anchored not stored refs pending

Can smooth LTB models mimicking the cosmological constant for the luminosity distance also satisfy the age constraint?

Antonio Enea Romano

arxiv:1105.1864 v4 · 2011-05-10 · astro-ph.CO · 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{YJEIWZKJYTAPNFE6PXDAYGTPXO}

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	2026-05-18T03:07:41.513130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2488b6549c4c0f6949e7dc60c1a6fbbab5119504bbe39cac61b034741283c09

Aliases

arxiv: 1105.1864 · arxiv_version: 1105.1864v4 · doi: 10.48550/arxiv.1105.1864 · pith_short_12: YJEIWZKJYTAP · pith_short_16: YJEIWZKJYTAPNFE6 · pith_short_8: YJEIWZKJ

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/YJEIWZKJYTAPNFE6PXDAYGTPXO \
  | 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: c2488b6549c4c0f6949e7dc60c1a6fbbab5119504bbe39cac61b034741283c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6c03aaad265b6434022fe4d6d66b88e7acb5622efbd801eeb754e4cd682f89",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-10T07:05:55Z",
    "title_canon_sha256": "97b168dddcd438a2c3129f29b3694a4c78cfae4c002d6e001f1516ca6e26f4bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1864",
    "kind": "arxiv",
    "version": 4
  }
}