Pith Number

pith:P2WMEOKI

pith:2026:P2WMEOKI22764LEHIKKTMERVYB

not attested not anchored not stored refs pending

Polylogarithmic Bounds for Nested Cycles without Geometric Crossings

Jiasheng Zeng, Xiao-Dong Zhang, Yue Xu

arxiv:2605.22232 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{P2WMEOKI22764LEHIKKTMERVYB}

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	2026-05-22T01:04:33.510184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eacc23948d6bfee2c874295361235c06742359a7341ec2659a521ce381f73a8

Aliases

arxiv: 2605.22232 · arxiv_version: 2605.22232v1 · doi: 10.48550/arxiv.2605.22232 · pith_short_12: P2WMEOKI2276 · pith_short_16: P2WMEOKI22764LEH · pith_short_8: P2WMEOKI

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/P2WMEOKI22764LEHIKKTMERVYB \
  | 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: 7eacc23948d6bfee2c874295361235c06742359a7341ec2659a521ce381f73a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f52ac06a8ca6f462185d0eab3f95252a717ca41e0da812ce9f9c9764166064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T09:32:24Z",
    "title_canon_sha256": "5e84dd3c53cdde11ed4adcd9dca650219acac009e8504d1ac4ed5aaef15c4601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22232",
    "kind": "arxiv",
    "version": 1
  }
}