Pith Number

pith:MGUTLQ6F

pith:2002:MGUTLQ6FXIIJSKXEQWP2HL32JR

not attested not anchored not stored refs pending

Can We See the Shape of the Universe?

G.I. Gomero

arxiv:astro-ph/0210279 v1 · 2002-10-12 · 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{MGUTLQ6FXIIJSKXEQWP2HL32JR}

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	2026-05-18T01:40:42.052840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a935c3c5ba10992ae4859fa3af7a4c6df987be56151721c69a56ca788bbd19

Aliases

arxiv: astro-ph/0210279 · arxiv_version: astro-ph/0210279v1 · doi: 10.48550/arxiv.astro-ph/0210279 · pith_short_12: MGUTLQ6FXIIJ · pith_short_16: MGUTLQ6FXIIJSKXE · pith_short_8: MGUTLQ6F

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/MGUTLQ6FXIIJSKXEQWP2HL32JR \
  | 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: 61a935c3c5ba10992ae4859fa3af7a4c6df987be56151721c69a56ca788bbd19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc6b7893f7ae14429a87f05ae6ad0c969ef5809aabf725a830246614b8e72da",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-10-12T19:28:06Z",
    "title_canon_sha256": "a7df7515a034719c5957eff6a76b0684e65574b433a91d9c334fa1e66ec1aaef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0210279",
    "kind": "arxiv",
    "version": 1
  }
}