Pith Number

pith:25ACA223

pith:2021:25ACA223Z47MLG7J3WWEFGFKB5

not attested not anchored not stored refs pending

Quantum algorithm for persistent Betti numbers and topological data analysis

Ryu Hayakawa

arxiv:2111.00433 v2 · 2021-10-31 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25ACA223Z47MLG7J3WWEFGFKB5}

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

A quantum algorithm for Khovanov homology

Receipt and verification

First computed	2026-07-05T05:25:00.168645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d740206b5bcf3ec59be9ddac4298aa0f53c72b9f9a19ed351b6d21750f136445

Aliases

arxiv: 2111.00433 · arxiv_version: 2111.00433v2 · doi: 10.48550/arxiv.2111.00433 · pith_short_12: 25ACA223Z47M · pith_short_16: 25ACA223Z47MLG7J · pith_short_8: 25ACA223

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/25ACA223Z47MLG7J3WWEFGFKB5 \
  | 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: d740206b5bcf3ec59be9ddac4298aa0f53c72b9f9a19ed351b6d21750f136445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f114a00d4cb3de228efdf76b5bfdaed6178fc46667e5c1b3a27b931dd9391089",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-10-31T09:02:01Z",
    "title_canon_sha256": "51f1ef64f3830ec0c75992bf0bfbb446991ddbbb54629de4de3f5a35714a553e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00433",
    "kind": "arxiv",
    "version": 2
  }
}