Pith Number

pith:MBJNLWTA

pith:2026:MBJNLWTAZVEFMUY5FVFZ2DOMMT

not attested not anchored not stored refs pending

Extensions of Erd\H{o}s's 1962 theorem on non-Hamiltonian graphs

Bo Ning, Tao Wang, Xu Liu

arxiv:2604.01068 v2 · 2026-04-01 · 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{MBJNLWTAZVEFMUY5FVFZ2DOMMT}

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

Sharp spectral Moon--Moser-type theorems in the linear range via feasible graph parameters

Receipt and verification

First computed	2026-07-08T01:19:12.237164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6052d5da60cd4856531d2d4b9d0dcc64c9e96965b9ef47c27912359d2ffbe60b

Aliases

arxiv: 2604.01068 · arxiv_version: 2604.01068v2 · doi: 10.48550/arxiv.2604.01068 · pith_short_12: MBJNLWTAZVEF · pith_short_16: MBJNLWTAZVEFMUY5 · pith_short_8: MBJNLWTA

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/MBJNLWTAZVEFMUY5FVFZ2DOMMT \
  | 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: 6052d5da60cd4856531d2d4b9d0dcc64c9e96965b9ef47c27912359d2ffbe60b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8934bfb30b26b0090bc235fce75b35f95856f091d3afefa6c81153b2111f3fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-04-01T16:05:34Z",
    "title_canon_sha256": "b2d18299a2da072c0eef52a9368653d53f0eabcba0991a8a09b7dd804915d0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01068",
    "kind": "arxiv",
    "version": 2
  }
}