Pith Number

pith:UOTETOFZ

pith:1996:UOTETOFZVXY64KVAWVZIB2JTEP

not attested not anchored not stored refs pending

Circles in the Sky: Finding Topology with the Microwave Background Radiation

David N. Spergel (Princeton U., Glenn D. Starkman (C.W.R.U.), Neil J. Cornish (Case Western Reserve Univ.), U of Maryland)

arxiv:gr-qc/9602039 v2 · 1996-02-20 · 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{UOTETOFZVXY64KVAWVZIB2JTEP}

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	2026-05-18T01:21:08.988988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a649b8b9adf1ee2aa0b57280e93323c1b8194d4f88353f600e8a8617e63166

Aliases

arxiv: gr-qc/9602039 · arxiv_version: gr-qc/9602039v2 · doi: 10.48550/arxiv.gr-qc/9602039 · pith_short_12: UOTETOFZVXY6 · pith_short_16: UOTETOFZVXY64KVA · pith_short_8: UOTETOFZ

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/UOTETOFZVXY64KVAWVZIB2JTEP \
  | 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: a3a649b8b9adf1ee2aa0b57280e93323c1b8194d4f88353f600e8a8617e63166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b5a4c6baac8bac6fdf51416169f3582d5294ccb92ee2b1f0a3f1af813185d6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-02-20T20:22:31Z",
    "title_canon_sha256": "59361e632ba148ccf3f261634714c43d635d4b9e920978f5808350cb4178068b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9602039",
    "kind": "arxiv",
    "version": 2
  }
}