Pith Number

pith:Z3GM3GYW

pith:2026:Z3GM3GYWMO4HSESKMNVDZZCACY

not attested not anchored not stored refs pending

The Manickam-Mikl\'os-Singhi Property in Graphs and Hypergraphs

Adam D\v{z}avoronok

arxiv:2605.22708 v1 · 2026-05-21 · 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{Z3GM3GYWMO4HSESKMNVDZZCACY}

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	2026-05-22T02:04:51.387695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecccd9b1663b879124a636a3ce440163513bc79ebeef4703eb0aeba13c0b57d

Aliases

arxiv: 2605.22708 · arxiv_version: 2605.22708v1 · doi: 10.48550/arxiv.2605.22708 · pith_short_12: Z3GM3GYWMO4H · pith_short_16: Z3GM3GYWMO4HSESK · pith_short_8: Z3GM3GYW

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/Z3GM3GYWMO4HSESKMNVDZZCACY \
  | 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: cecccd9b1663b879124a636a3ce440163513bc79ebeef4703eb0aeba13c0b57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425468ebc325ab23d4b283a1dc46aeba969d3245f77660fea28319948609b72d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T16:47:40Z",
    "title_canon_sha256": "cd85e414777d59c20fd42dcd6f5d2f7342b9a27dba0b84ef727fff9a0f327664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22708",
    "kind": "arxiv",
    "version": 1
  }
}