Pith Number

pith:WWBWTZDL

pith:2024:WWBWTZDLVVDDY5YUUOISFSTWVJ

not attested not anchored not stored refs pending

Cosmic topology. Part IVa. Classification of manifolds using machine learning: a case study with small toroidal universes

Amirhossein Samandar, Andrew H. Jaffe, Andrius Tamosiunas, Arthur Kosowsky, Craig J. Copi, Deyan P. Mihaylov, Fernando Cornet-Gomez, Glenn D. Starkman, James B. Mertens, Javier Carr\'on Duque, Johannes R. Eskilt, Mikel Martin Barandiaran, \"Ozen\c{c} G\"ung\"or, Quinn Taylor, Samanta Saha, Stefano Anselmi, Thiago S. Pereira, Valeri Vardanyan (COMPACT Collaboration), Yashar Akrami

arxiv:2404.01236 v2 · 2024-04-01 · astro-ph.CO · gr-qc · 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{WWBWTZDLVVDDY5YUUOISFSTWVJ}

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	2026-07-05T09:12:03.961919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58369e46bad463c7714a39122ca76aa4a7520cfd44fb2cdaa8885acd2a19067

Aliases

arxiv: 2404.01236 · arxiv_version: 2404.01236v2 · doi: 10.48550/arxiv.2404.01236 · pith_short_12: WWBWTZDLVVDD · pith_short_16: WWBWTZDLVVDDY5YU · pith_short_8: WWBWTZDL

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/WWBWTZDLVVDDY5YUUOISFSTWVJ \
  | 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: b58369e46bad463c7714a39122ca76aa4a7520cfd44fb2cdaa8885acd2a19067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6354d31d09a3205256cea58d7a8a02a31ed1ae6490ada460ee8cba07a108b6f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-04-01T16:54:58Z",
    "title_canon_sha256": "bf88ad26b8927fdb73398e812a2308a48c0223ffa6713a725d6d74202597df7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.01236",
    "kind": "arxiv",
    "version": 2
  }
}