Pith Number

pith:NKE64BXK

pith:2019:NKE64BXK2KOEBTMQPIQKV6JLOU

not attested not anchored not stored refs pending

Complementary Graphs with Flows Less Than Three

Jiaao Li, Meiling Wang, Xueliang Li

arxiv:1903.05809 v1 · 2019-03-14 · 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{NKE64BXK2KOEBTMQPIQKV6JLOU}

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	2026-05-17T23:51:16.131504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a89ee06ead29c40cd907a20aaf92b75355fa4ff50e7ab77ce475006b34945ae

Aliases

arxiv: 1903.05809 · arxiv_version: 1903.05809v1 · doi: 10.48550/arxiv.1903.05809 · pith_short_12: NKE64BXK2KOE · pith_short_16: NKE64BXK2KOEBTMQ · pith_short_8: NKE64BXK

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/NKE64BXK2KOEBTMQPIQKV6JLOU \
  | 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: 6a89ee06ead29c40cd907a20aaf92b75355fa4ff50e7ab77ce475006b34945ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9e2d5fbccc26677816ce635c4804b92345ac4a13119d519155dd6147d1b23f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-14T04:11:54Z",
    "title_canon_sha256": "60d4850eb76fd402dd7da98cc998e44b8904269c2ba2581eb2b0f9c5c01ed67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05809",
    "kind": "arxiv",
    "version": 1
  }
}