Pith Number

pith:WH45NUKK

pith:2008:WH45NUKKHVJZL7SKF4JZ4K5LDO

not attested not anchored not stored refs pending

Can inhomogeneities solve the horizon problem ?

Antonio Enea Romano

arxiv:0811.3921 v2 · 2008-11-24 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH45NUKKHVJZL7SKF4JZ4K5LDO}

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	2026-05-18T04:18:22.625062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f9d6d14a3d5395fe4a2f139e2bab1b86318ebb76745995f69760251a5a60f7

Aliases

arxiv: 0811.3921 · arxiv_version: 0811.3921v2 · doi: 10.48550/arxiv.0811.3921 · pith_short_12: WH45NUKKHVJZ · pith_short_16: WH45NUKKHVJZL7SK · pith_short_8: WH45NUKK

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/WH45NUKKHVJZL7SKF4JZ4K5LDO \
  | 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: b1f9d6d14a3d5395fe4a2f139e2bab1b86318ebb76745995f69760251a5a60f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0fcb57cc67d27afa10894e82dbb9e504d2025c61f099a192ae0a572d3d2f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-11-24T16:57:11Z",
    "title_canon_sha256": "9adac74c628ac7ce6f573c68a883145ee191384a396472c6ef2e0befe441bd1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3921",
    "kind": "arxiv",
    "version": 2
  }
}