Pith Number

pith:5GR2Q7TD

pith:2003:5GR2Q7TDYSCNVBYCDEEVRP3NP2

not attested not anchored not stored refs pending

Constraining the Topology of the Universe

David N. Spergel, Eiichiro Komatsu, Glenn D. Starkman, Neil J. Cornish

arxiv:astro-ph/0310233 v1 · 2003-10-08 · 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{5GR2Q7TDYSCNVBYCDEEVRP3NP2}

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

3 papers in Pith

Inflation and topology from the no-boundary state

The yes boundaries wavefunctions of the universe

Receipt and verification

First computed	2026-07-04T16:37:30.360101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a3a87e63c484da8702190958bf6d7ea102afbbc966c39d1fb7c3346064a4f1

Aliases

arxiv: astro-ph/0310233 · arxiv_version: astro-ph/0310233v1 · doi: 10.48550/arxiv.astro-ph/0310233 · pith_short_12: 5GR2Q7TDYSCN · pith_short_16: 5GR2Q7TDYSCNVBYC · pith_short_8: 5GR2Q7TD

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/5GR2Q7TDYSCNVBYCDEEVRP3NP2 \
  | 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: e9a3a87e63c484da8702190958bf6d7ea102afbbc966c39d1fb7c3346064a4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9b6b22a60ed69ae5f03dcf2a945ccfb87c89fabaf02a31d99dbc2505aadafa",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-10-08T20:27:22Z",
    "title_canon_sha256": "aec3deaf9768f81b69c41a49382d225eec7b1ac893505e4d1a331ea301915283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0310233",
    "kind": "arxiv",
    "version": 1
  }
}