Pith Number

pith:6PRWBMMH

pith:2018:6PRWBMMHXKHPPZP2JWFAYXRTYD

not attested not anchored not stored refs pending

Codegree conditions for tilling balanced complete $3$-partite $3$-graphs and generalized 4-cycles

Boyuan Liu, Xinmin Hou, Yue Ma

arxiv:1805.05742 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{6PRWBMMHXKHPPZP2JWFAYXRTYD}

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	2026-05-18T00:15:53.827592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e360b187ba8ef7e5fa4d8a0c5e33c0cf8d4de621b72dda1b0f9c273cae8d1a

Aliases

arxiv: 1805.05742 · arxiv_version: 1805.05742v1 · doi: 10.48550/arxiv.1805.05742 · pith_short_12: 6PRWBMMHXKHP · pith_short_16: 6PRWBMMHXKHPPZP2 · pith_short_8: 6PRWBMMH

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/6PRWBMMHXKHPPZP2JWFAYXRTYD \
  | 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: f3e360b187ba8ef7e5fa4d8a0c5e33c0cf8d4de621b72dda1b0f9c273cae8d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ccc93cdd6bfc97b50395d31c09ab959389ac0dd1504ba9c3911bbf13fec594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-15T12:59:03Z",
    "title_canon_sha256": "adf8270ad8dae19a3a8e9c181ebf844ffeabf55c042156103251fb7891d8d031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05742",
    "kind": "arxiv",
    "version": 1
  }
}