Pith Number

pith:KP7ZJEUW

pith:2020:KP7ZJEUWDIKS5ZZ6ZVEZXNB67E

not attested not anchored not stored refs pending

A note on dense bipartite induced subgraphs

Stefan Glock

arxiv:2006.05101 v1 · 2020-06-09 · 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{KP7ZJEUWDIKS5ZZ6ZVEZXNB67E}

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

$C_4$-free subgraphs of high degree with geometric applications

Receipt and verification

First computed	2026-07-05T01:09:10.578249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ff9492961a152ee73ecd499bb43ef90fdf9876c76ef021349e4753d5d4028d

Aliases

arxiv: 2006.05101 · arxiv_version: 2006.05101v1 · doi: 10.48550/arxiv.2006.05101 · pith_short_12: KP7ZJEUWDIKS · pith_short_16: KP7ZJEUWDIKS5ZZ6 · pith_short_8: KP7ZJEUW

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/KP7ZJEUWDIKS5ZZ6ZVEZXNB67E \
  | 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: 53ff9492961a152ee73ecd499bb43ef90fdf9876c76ef021349e4753d5d4028d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7ee6d788d54121eeab6241b800b0baadfee311561178c4fc0b2cdf338fffe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-09T08:07:41Z",
    "title_canon_sha256": "6a86964acb48de8f03b169128ed460fd6ccb4ceec802b90a4b6b7c90701167b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.05101",
    "kind": "arxiv",
    "version": 1
  }
}