Pith Number

pith:BTCVOQ7U

pith:2018:BTCVOQ7U7ZGCZVTFNHATRBJO2E

not attested not anchored not stored refs pending

The Manickam-Mikl\'os-Singhi Parameter of Graphs and Degree Sequences

Ian McMeeking, Joshua Mundinger, Neeraja Kulkarni, Zolt\'an Kir\'aly

arxiv:1808.05835 v1 · 2018-08-17 · 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{BTCVOQ7U7ZGCZVTFNHATRBJO2E}

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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

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

Receipt and verification

First computed	2026-05-18T00:07:51.971896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc55743f4fe4c2cd66569c138852ed12d21e9d1ec18f00ffa3186ec8e5e7b91

Aliases

arxiv: 1808.05835 · arxiv_version: 1808.05835v1 · doi: 10.48550/arxiv.1808.05835 · pith_short_12: BTCVOQ7U7ZGC · pith_short_16: BTCVOQ7U7ZGCZVTF · pith_short_8: BTCVOQ7U

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/BTCVOQ7U7ZGCZVTFNHATRBJO2E \
  | 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: 0cc55743f4fe4c2cd66569c138852ed12d21e9d1ec18f00ffa3186ec8e5e7b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea2aff4196d237e6a5580822e6208840869d01ade13a13a5f50c9e2a3610476",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-17T12:10:41Z",
    "title_canon_sha256": "0aaa46773f05eea3011a69eca0094147bb85e317aaf039fac4e3245f14d624df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05835",
    "kind": "arxiv",
    "version": 1
  }
}