Pith Number

pith:7L5NKDFW

pith:2001:7L5NKDFWMRLOZTEEX7EVJHSOIC

not attested not anchored not stored refs pending

Topology and the Cosmic Microwave Background

Janna Levin

arxiv:gr-qc/0108043 v2 · 2001-08-16 · gr-qc · 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{7L5NKDFWMRLOZTEEX7EVJHSOIC}

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

1 paper in Pith

Gravitational waves and cosmic boundary

Receipt and verification

First computed	2026-05-18T02:37:35.861749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fafad50cb66456eccc84bfc9549e4e409aa1638ceb8ec4ac9e9c677621bc2cfc

Aliases

arxiv: gr-qc/0108043 · arxiv_version: gr-qc/0108043v2 · doi: 10.48550/arxiv.gr-qc/0108043 · pith_short_12: 7L5NKDFWMRLO · pith_short_16: 7L5NKDFWMRLOZTEE · pith_short_8: 7L5NKDFW

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/7L5NKDFWMRLOZTEEX7EVJHSOIC \
  | 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: fafad50cb66456eccc84bfc9549e4e409aa1638ceb8ec4ac9e9c677621bc2cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c399bcb75aad3f05456d6e8782e4db1fb18929c9fed93c5f59395c0c2e33c9c",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-08-16T20:48:09Z",
    "title_canon_sha256": "65b3db4729df410221f1c2939263082668c212b498056c9aebca57e914e88a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0108043",
    "kind": "arxiv",
    "version": 2
  }
}