Pith Number

pith:HGMAVMLB

pith:2017:HGMAVMLBCEOQUETSWKRZH5RG32

not attested not anchored not stored refs pending

Bounds on some monotonic topological indices of bipartite graphs with a given number of cut edges

Hanlin Chen, Hanyuan Deng, Renfang Wu

arxiv:1704.05257 v1 · 2017-04-18 · 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{HGMAVMLBCEOQUETSWKRZH5RG32}

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	2026-05-18T00:46:11.409476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39980ab161111d0a1272b2a393f626de8bda289161e6c8f052e052d37ba47663

Aliases

arxiv: 1704.05257 · arxiv_version: 1704.05257v1 · doi: 10.48550/arxiv.1704.05257 · pith_short_12: HGMAVMLBCEOQ · pith_short_16: HGMAVMLBCEOQUETS · pith_short_8: HGMAVMLB

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/HGMAVMLBCEOQUETSWKRZH5RG32 \
  | 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: 39980ab161111d0a1272b2a393f626de8bda289161e6c8f052e052d37ba47663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6262d46d3502489c6e91bf7d5aec533536bffc85fbd5c1304fd137e6c9bd83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-18T10:02:54Z",
    "title_canon_sha256": "a77bed43d4321046320151dac372ca91871ef13df6d2ddf88a0f451835a3d130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05257",
    "kind": "arxiv",
    "version": 1
  }
}