Pith Number

pith:DRTDVLGD

pith:2002:DRTDVLGDDIZMYOHQKF5ESQEJZY

not attested not anchored not stored refs pending

Detecting Topology in a Nearly Flat Spherical Universe

Jean-Philippe Uzan, Jeffrey Weeks, Roland Lehoucq

arxiv:astro-ph/0209389 v1 · 2002-09-19 · 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{DRTDVLGDDIZMYOHQKF5ESQEJZY}

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	2026-05-18T00:37:00.821366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c663aacc31a32cc38f0517a494089ce1a527943991628b7ed5294101806bfaa

Aliases

arxiv: astro-ph/0209389 · arxiv_version: astro-ph/0209389v1 · doi: 10.48550/arxiv.astro-ph/0209389 · pith_short_12: DRTDVLGDDIZM · pith_short_16: DRTDVLGDDIZMYOHQ · pith_short_8: DRTDVLGD

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/DRTDVLGDDIZMYOHQKF5ESQEJZY \
  | 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: 1c663aacc31a32cc38f0517a494089ce1a527943991628b7ed5294101806bfaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae39a18d7c974ba9041f6e793c0ddc427e5569ade97fd36680d0479f8d2eb6bf",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-09-19T07:01:42Z",
    "title_canon_sha256": "e64e0fe21e8fb9819bb3fcc77a024b263328d6e781338423b5b304baf4bb8aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0209389",
    "kind": "arxiv",
    "version": 1
  }
}