Pith Number

pith:SPZUX46G

pith:2002:SPZUX46GASQMA44U5QEHCSOD7I

not attested not anchored not stored refs pending

The Accelerated Universe and the Moon

Andrei Gruzinov, Gia Dvali, Matias Zaldarriaga

arxiv:hep-ph/0212069 v2 · 2002-12-04 · hep-ph · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPZUX46GASQMA44U5QEHCSOD7I}

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	2026-07-04T16:34:29.049656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f34bf3c604a0c07394ec087149c3fa2dd163e58f73163d9a76b55900282611

Aliases

arxiv: hep-ph/0212069 · arxiv_version: hep-ph/0212069v2 · doi: 10.48550/arxiv.hep-ph/0212069 · pith_short_12: SPZUX46GASQM · pith_short_16: SPZUX46GASQMA44U · pith_short_8: SPZUX46G

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/SPZUX46GASQMA44U5QEHCSOD7I \
  | 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: 93f34bf3c604a0c07394ec087149c3fa2dd163e58f73163d9a76b55900282611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb037d75a452095f8d72a7d6720577e65c12074536c3e9af61d024138f62517",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-04T20:28:18Z",
    "title_canon_sha256": "b823bcaeeb5fba42d56902a8a7c6030e27a2a685dd02b012bd952dec820e48f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212069",
    "kind": "arxiv",
    "version": 2
  }
}