Pith Number

pith:KY7TXAEB

pith:2018:KY7TXAEBRQ6JJYG4ESKLUGXW7T

not attested not anchored not stored refs pending

A bound on judicious bipartitions of directed graphs

Huawen Ma, Jianfeng Hou, Xia Zhang, Xingxing Yu

arxiv:1805.05506 v1 · 2018-05-15 · 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{KY7TXAEBRQ6JJYG4ESKLUGXW7T}

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	2026-05-18T00:16:00.432110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563f3b80818c3c94e0dc2494ba1af6fcd8097e07a7f6e022baa498afedfaee75

Aliases

arxiv: 1805.05506 · arxiv_version: 1805.05506v1 · doi: 10.48550/arxiv.1805.05506 · pith_short_12: KY7TXAEBRQ6J · pith_short_16: KY7TXAEBRQ6JJYG4 · pith_short_8: KY7TXAEB

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/KY7TXAEBRQ6JJYG4ESKLUGXW7T \
  | 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: 563f3b80818c3c94e0dc2494ba1af6fcd8097e07a7f6e022baa498afedfaee75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a09d7002dc9a12ceb68fb867a7185d5d0317e4f5ae63cf2e7717f7972a55f63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-15T00:42:25Z",
    "title_canon_sha256": "ae7cee84b2fb703281f6680a6237d1e1a54f33da72f70e2b2700b2044ea58582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05506",
    "kind": "arxiv",
    "version": 1
  }
}