Pith Number

pith:IPOWOY5Z

pith:2020:IPOWOY5ZLGRA4MBN7CMDNQ4YJF

not attested not anchored not stored refs pending

Large highly connected subgraphs in graphs with linear average degree

Johannes Carmesin

arxiv:2003.00942 v1 · 2020-03-02 · 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{IPOWOY5ZLGRA4MBN7CMDNQ4YJF}

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

Hypergraphs without Subgraphs of Given Connectivity

Receipt and verification

First computed	2026-07-05T00:44:59.641458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43dd6763b959a20e302df89836c3984974331bcdb737f14805dee73671b2cbc6

Aliases

arxiv: 2003.00942 · arxiv_version: 2003.00942v1 · doi: 10.48550/arxiv.2003.00942 · pith_short_12: IPOWOY5ZLGRA · pith_short_16: IPOWOY5ZLGRA4MBN · pith_short_8: IPOWOY5Z

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/IPOWOY5ZLGRA4MBN7CMDNQ4YJF \
  | 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: 43dd6763b959a20e302df89836c3984974331bcdb737f14805dee73671b2cbc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf53d50f6ee8f3e75779f065b3513fa8484aaa9ede3967d9f841877bd5ed71f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-02T14:38:38Z",
    "title_canon_sha256": "cb7c1e5d018c2d1fe710997ac7de62cb788e83ef0e2e3931d60adfaefd53beed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.00942",
    "kind": "arxiv",
    "version": 1
  }
}