Pith Number

pith:2Z5NQGJ3

pith:2024:2Z5NQGJ3IZVB5QX76CBERR2E6I

not attested not anchored not stored refs pending

Betti Functionals as a Probe for Cosmic Topology

Frank Steiner, Ralf Aurich

arxiv:2403.09221 v2 · 2024-03-14 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Z5NQGJ3IZVB5QX76CBERR2E6I}

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

On the statistical nature of Betti numbers and Euler characteristic of smooth random fields

Receipt and verification

First computed	2026-07-05T08:21:14.620633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67ad8193b466a1ec2fff08248c744f22b3b5a7f9bf5bb02d96db2fba9e3c426

Aliases

arxiv: 2403.09221 · arxiv_version: 2403.09221v2 · doi: 10.48550/arxiv.2403.09221 · pith_short_12: 2Z5NQGJ3IZVB · pith_short_16: 2Z5NQGJ3IZVB5QX7 · pith_short_8: 2Z5NQGJ3

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/2Z5NQGJ3IZVB5QX76CBERR2E6I \
  | 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: d67ad8193b466a1ec2fff08248c744f22b3b5a7f9bf5bb02d96db2fba9e3c426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfc7a40ee9827ce1ac5e3574bb2e9e63530d9d5923da1fbf2fcd365f38df614",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-03-14T09:38:57Z",
    "title_canon_sha256": "55cce6cb9f58e884e70437804e412bb85290331a25e20d1d3589224498449be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.09221",
    "kind": "arxiv",
    "version": 2
  }
}