Pith Number

pith:DMZMBSIS

pith:2026:DMZMBSISANUU24T5VGH3ZABFCA

not attested not anchored not stored refs pending

Krahn-Szeg\H o type inequalities for graphs

Huiqiu Lin, Lianping Liu, Xilong Yin, Zhe You

arxiv:2606.11659 v1 · 2026-06-10 · math.CO · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMZMBSISANUU24T5VGH3ZABFCA}

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	2026-06-11T01:10:01.397624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b32c0c91203694d727da98fbc80251012776ba5a2a9fe0d0b92f9f81120ba96

Aliases

arxiv: 2606.11659 · arxiv_version: 2606.11659v1 · doi: 10.48550/arxiv.2606.11659 · pith_short_12: DMZMBSISANUU · pith_short_16: DMZMBSISANUU24T5 · pith_short_8: DMZMBSIS

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/DMZMBSISANUU24T5VGH3ZABFCA \
  | 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: 1b32c0c91203694d727da98fbc80251012776ba5a2a9fe0d0b92f9f81120ba96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3dd42a22a1a52194cbae1fde153c8751b8cd288c631b1d7a7b3691332b02f3b",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T04:53:20Z",
    "title_canon_sha256": "8a302a73f103a822607640078bcc1a94c8a056d50a747c8083408338f4f78207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11659",
    "kind": "arxiv",
    "version": 1
  }
}