Pith Number

pith:UOA64ABE

pith:2025:UOA64ABEEWJKUEF4KKK5WJ7SYT

not attested not anchored not stored refs pending

Every $2k$-connected $(P_2\cup kP_1)$-free graph with toughness greater than one is hamiltonian-connected

Feng Liu

arxiv:2503.12860 v1 · 2025-03-17 · 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{UOA64ABEEWJKUEF4KKK5WJ7SYT}

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	2026-07-05T10:32:47.973312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a381ee00242592aa10bc5295db27f2c4d71ff212eb79511c4de5ec39930b435a

Aliases

arxiv: 2503.12860 · arxiv_version: 2503.12860v1 · doi: 10.48550/arxiv.2503.12860 · pith_short_12: UOA64ABEEWJK · pith_short_16: UOA64ABEEWJKUEF4 · pith_short_8: UOA64ABE

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/UOA64ABEEWJKUEF4KKK5WJ7SYT \
  | 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: a381ee00242592aa10bc5295db27f2c4d71ff212eb79511c4de5ec39930b435a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af2ff16e6f371a81d9050c2d9c7f9f8553b3ef71c09e805fb594d7209c96c6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-17T06:44:36Z",
    "title_canon_sha256": "2cb0fd4ce188e9f655cd5b29502694ea11374220d9467c6b1ed8e9fa05512ec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.12860",
    "kind": "arxiv",
    "version": 1
  }
}