Pith Number

pith:QM7DXW5D

pith:2017:QM7DXW5DVSJZ5ZKKL5X67FQ5G3

not attested not anchored not stored refs pending

Graphs having extremal monotonic topological indices with bounded vertex $k$-partiteness

Duo Duo Zhao, Fang Gao, Jia-Bao Liu, Xiao-Xin Li

arxiv:1708.00970 v1 · 2017-08-03 · 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{QM7DXW5DVSJZ5ZKKL5X67FQ5G3}

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	2026-05-18T00:38:40.985991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833e3bdba3ac939ee54a5f6fef961d36e58a25773ba28ff78fb14d596b412408

Aliases

arxiv: 1708.00970 · arxiv_version: 1708.00970v1 · doi: 10.48550/arxiv.1708.00970 · pith_short_12: QM7DXW5DVSJZ · pith_short_16: QM7DXW5DVSJZ5ZKK · pith_short_8: QM7DXW5D

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/QM7DXW5DVSJZ5ZKKL5X67FQ5G3 \
  | 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: 833e3bdba3ac939ee54a5f6fef961d36e58a25773ba28ff78fb14d596b412408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9bc1b016a94e917fd91896cd807d11aa8690b236ed7cc08169f66e963a94e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-03T02:19:44Z",
    "title_canon_sha256": "bf45179014571b93c8ee5f548e93ec40d43dc5464e8b2a445ab435dd3d230628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00970",
    "kind": "arxiv",
    "version": 1
  }
}