Pith Number

pith:6I5YZBUM

pith:2017:6I5YZBUMN3LZG6VO2CVOZPD2FY

not attested not anchored not stored refs pending

A note on "Extremal graphs with bounded vertex bipartiteness number"

Jia-Bao Liu, Shaohui Wang

arxiv:1704.02867 v1 · 2017-04-10 · 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{6I5YZBUMN3LZG6VO2CVOZPD2FY}

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	2026-05-18T00:46:44.163162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23b8c868c6ed7937aaed0aaecbc7a2e2f7e06b9788c000499c6562cbd257b87

Aliases

arxiv: 1704.02867 · arxiv_version: 1704.02867v1 · doi: 10.48550/arxiv.1704.02867 · pith_short_12: 6I5YZBUMN3LZ · pith_short_16: 6I5YZBUMN3LZG6VO · pith_short_8: 6I5YZBUM

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/6I5YZBUMN3LZG6VO2CVOZPD2FY \
  | 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: f23b8c868c6ed7937aaed0aaecbc7a2e2f7e06b9788c000499c6562cbd257b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e578995dd53221179be6e9e604df8b50b29408326bd1912af9a7d8f7c15206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-10T14:19:25Z",
    "title_canon_sha256": "c1c48369a9d1245148fc6e2bb9d98d2d2da8599d9e08e8492a418ff424a63036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02867",
    "kind": "arxiv",
    "version": 1
  }
}