Pith Number

pith:IZGPAWDP

pith:2009:IZGPAWDPBXJSXCW3Z5DH3BKXGH

not attested not anchored not stored refs pending

The age of the universe, the Hubble constant, the accelerated expansion and the Hubble effect

Domingos Soares

arxiv:0908.1864 v8 · 2009-08-13 · physics.gen-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{IZGPAWDPBXJSXCW3Z5DH3BKXGH}

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	2026-05-18T01:36:16.118211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464cf0586f0dd32b8adbcf467d855731edef710b92459e697eea56f1de4f234c

Aliases

arxiv: 0908.1864 · arxiv_version: 0908.1864v8 · doi: 10.48550/arxiv.0908.1864 · pith_short_12: IZGPAWDPBXJS · pith_short_16: IZGPAWDPBXJSXCW3 · pith_short_8: IZGPAWDP

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/IZGPAWDPBXJSXCW3Z5DH3BKXGH \
  | 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: 464cf0586f0dd32b8adbcf467d855731edef710b92459e697eea56f1de4f234c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b424715f7d0c346932d763084e33cb7d103530e6342d561a2255314115c7a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2009-08-13T10:25:11Z",
    "title_canon_sha256": "36325725f97736815d722c70be9307bc393ba14990c1f704de4e73cd7a01891e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1864",
    "kind": "arxiv",
    "version": 8
  }
}