Pith Number

pith:VCHWV3K2

pith:2023:VCHWV3K25OI4SRZEBWTXSO3OX3

not attested not anchored not stored refs pending

On the evolution of Betti curves in the Cosmic web

Franco Vazza, Maksym Tsizh, Marco Baldi, Vitalii Tymchyshyn

arxiv:2311.10029 v2 · 2023-11-16 · 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{VCHWV3K25OI4SRZEBWTXSO3OX3}

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	2026-07-05T09:51:29.616606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88f6aed5aeb91c947240da7793b6ebed83f3202e1e95515516027900d016871

Aliases

arxiv: 2311.10029 · arxiv_version: 2311.10029v2 · doi: 10.48550/arxiv.2311.10029 · pith_short_12: VCHWV3K25OI4 · pith_short_16: VCHWV3K25OI4SRZE · pith_short_8: VCHWV3K2

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/VCHWV3K25OI4SRZEBWTXSO3OX3 \
  | 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: a88f6aed5aeb91c947240da7793b6ebed83f3202e1e95515516027900d016871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74dce9928377c342f359d9ae9e8be64feadc806b312101e40dbd94f29dcc5a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-11-16T17:26:27Z",
    "title_canon_sha256": "1c661bb4019492c1a954912f7e283a7988c38ffb4c2bb6ce0b3d0f9cb107b184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.10029",
    "kind": "arxiv",
    "version": 2
  }
}