Pith Number

pith:E2L3DGGR

pith:2006:E2L3DGGRCUOOQPG3NFVBRFUQQ7

not attested not anchored not stored refs pending

Extending the WMAP Bound on the Size of the Universe

David N. Spergel & Glenn D. Starkman, Joey Shapiro Key, Neil J. Cornish

arxiv:astro-ph/0604616 v1 · 2006-04-28 · 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{E2L3DGGRCUOOQPG3NFVBRFUQQ7}

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

Gravitational waves and cosmic boundary

Receipt and verification

First computed	2026-07-04T15:16:45.998733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2697b198d1151ce83cdb696a18969087d9f8015775dd0fa820bf50a6395fd75e

Aliases

arxiv: astro-ph/0604616 · arxiv_version: astro-ph/0604616v1 · doi: 10.48550/arxiv.astro-ph/0604616 · pith_short_12: E2L3DGGRCUOO · pith_short_16: E2L3DGGRCUOOQPG3 · pith_short_8: E2L3DGGR

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/E2L3DGGRCUOOQPG3NFVBRFUQQ7 \
  | 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: 2697b198d1151ce83cdb696a18969087d9f8015775dd0fa820bf50a6395fd75e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f8d9db3281075703e16e21d10865b1b611188dc532241f0c05a7b15a7583ff",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-04-28T18:19:11Z",
    "title_canon_sha256": "a8481aeb83d8a2ea4b49a81019a6fd0f20a7a6ea89af3cfad2d8db40ac6e50ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0604616",
    "kind": "arxiv",
    "version": 1
  }
}