Pith Number

pith:KC4RGHHX

pith:2026:KC4RGHHXGI6GBU7B55LPUILNRS

not attested not anchored not stored refs pending

Betti Numbers of Cut Complexes of Squared Paths and a Recurrence Conjecture

Yaoran Yang, Yutong Zhang

arxiv:2605.22808 v1 · 2026-05-21 · math.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{KC4RGHHXGI6GBU7B55LPUILNRS}

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.

Receipt and verification

First computed	2026-05-22T02:04:55.708101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b9131cf7323c60d3e1ef56fa216d8c9a0d17503c4bd57a72680b44d71d9214

Aliases

arxiv: 2605.22808 · arxiv_version: 2605.22808v1 · doi: 10.48550/arxiv.2605.22808 · pith_short_12: KC4RGHHXGI6G · pith_short_16: KC4RGHHXGI6GBU7B · pith_short_8: KC4RGHHX

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/KC4RGHHXGI6GBU7B55LPUILNRS \
  | 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: 50b9131cf7323c60d3e1ef56fa216d8c9a0d17503c4bd57a72680b44d71d9214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489f85e9ffc460ecce82df27a05a998f8ed76ae4f461dce9da4e8845adb92aa8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T17:57:09Z",
    "title_canon_sha256": "a1f157178fa2c6e0c10732b51fb036c83ba3b10e5bbf19a9ea1463f65c9585a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22808",
    "kind": "arxiv",
    "version": 1
  }
}