Pith Number

pith:3LBDYVIS

pith:2011:3LBDYVIS4AE5WJ6X3YX3KHPY6R

not attested not anchored not stored refs pending

Probing Dark Energy with Alpha Shapes and Betti Numbers

Bernard J.T. Jones, Changbom Park, E.G. Patrick Bos, Gert Vegter, Herbert Edelsbrunner, Johan Hidding, Mathijs Wintraecken, Monique Teillaud, Pratyush Pranav, Rien van de Weygaert, Wojciech A. Hellwing

arxiv:1110.5528 v1 · 2011-10-25 · 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{3LBDYVIS4AE5WJ6X3YX3KHPY6R}

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

Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology

Receipt and verification

First computed	2026-05-18T04:10:22.730626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac23c5512e009db27d7de2fb51df8f46be7bb4a0d5712f916c05aa7d4080bb8

Aliases

arxiv: 1110.5528 · arxiv_version: 1110.5528v1 · doi: 10.48550/arxiv.1110.5528 · pith_short_12: 3LBDYVIS4AE5 · pith_short_16: 3LBDYVIS4AE5WJ6X · pith_short_8: 3LBDYVIS

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/3LBDYVIS4AE5WJ6X3YX3KHPY6R \
  | 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: dac23c5512e009db27d7de2fb51df8f46be7bb4a0d5712f916c05aa7d4080bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a444d1aa94dcf73b3aa8caecc174ac2df59c313b1855bb01a1996397aa5ec60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-25T15:09:27Z",
    "title_canon_sha256": "e746b13d2fb0513205b877837ce8ec63eaa975f24472e3fa0d7887b2a18d4658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5528",
    "kind": "arxiv",
    "version": 1
  }
}