Pith Number

pith:J545AMYM

pith:2025:J545AMYMPBSITVVRXQP53UAZ4K

not attested not anchored not stored refs pending

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs

Hongxi Liu, Long-tu Yuan, Xiaowen Zhang

arxiv:2506.02687 v3 · 2025-06-03 · 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{J545AMYMPBSITVVRXQP53UAZ4K}

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.

Cited by

1 paper in Pith

Cycles and paths through vertices whose degrees are at least the bipartite-hole-number

Receipt and verification

First computed	2026-07-05T11:19:27.961040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f79d0330c786489d6b1bc1fddd019e2a293ba718e38d33855784e53f3f8f8b8

Aliases

arxiv: 2506.02687 · arxiv_version: 2506.02687v3 · doi: 10.48550/arxiv.2506.02687 · pith_short_12: J545AMYMPBSI · pith_short_16: J545AMYMPBSITVVR · pith_short_8: J545AMYM

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/J545AMYMPBSITVVRXQP53UAZ4K \
  | 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: 4f79d0330c786489d6b1bc1fddd019e2a293ba718e38d33855784e53f3f8f8b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b2a8bb4d833f4478528961e726a09f7814f4d193678c8ab5084ea03f259e36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-03T09:40:28Z",
    "title_canon_sha256": "4f9d0afec86ddedbe86756cb1e962bb5c9f3106d09250c8d110cb69863337858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02687",
    "kind": "arxiv",
    "version": 3
  }
}