Pith Number

pith:ECX5KXVN

pith:2023:ECX5KXVNO4MGBXA5EKZMYZM5VU

not attested not anchored not stored refs pending

Cosmic topology. Part IIa. Eigenmodes, correlation matrices, and detectability of orientable Euclidean manifolds

Andrew H. Jaffe, Andrius Tamosiunas, Arthur Kosowsky, Craig J. Copi, Deyan P. Mihaylov, Glenn D. Starkman, James B. Mertens, Johannes R. Eskilt, \"Ozen\c{c} G\"ung\"or (COMPACT Collaboration), Pip Petersen, Quinn Taylor, Samanta Saha, Stefano Anselmi, Yashar Akrami

arxiv:2306.17112 v3 · 2023-06-29 · astro-ph.CO · gr-qc · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECX5KXVNO4MGBXA5EKZMYZM5VU}

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

Bianchi cosmologies in a Thurston-based theory of gravity

Receipt and verification

First computed	2026-07-05T08:12:43.819848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20afd55ead771860dc1d22b2cc659dad075738a1cf6eb04316257861307de363

Aliases

arxiv: 2306.17112 · arxiv_version: 2306.17112v3 · doi: 10.48550/arxiv.2306.17112 · pith_short_12: ECX5KXVNO4MG · pith_short_16: ECX5KXVNO4MGBXA5 · pith_short_8: ECX5KXVN

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/ECX5KXVNO4MGBXA5EKZMYZM5VU \
  | 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: 20afd55ead771860dc1d22b2cc659dad075738a1cf6eb04316257861307de363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469c75a62f58601012a8df74cbd2e977b3d44cb849e150b34ad47d44aa1cad6c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-06-29T17:15:18Z",
    "title_canon_sha256": "0a18ffb24ac2183a625d4e8cefa1e8800a14e8db79c8171d5dc48a8a05bdf284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17112",
    "kind": "arxiv",
    "version": 3
  }
}