pith. sign in
Pith Number

pith:N7BD5OGJ

pith:2009:N7BD5OGJJPRLL5FPUOZ7L4KGUZ
not attested not anchored not stored refs pending

The extremal function for partial bipartite tilings

Codrut Grosu, Jan Hladky

arxiv:0910.1064 v2 · 2009-10-06 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N7BD5OGJJPRLL5FPUOZ7L4KGUZ}

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 2026-05-18T00:39:18.834089Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6fc23eb8c94be2b5f4afa3b3f5f146a66dc76142bb02d6cb24b1094c1a6addff

Aliases

arxiv: 0910.1064 · arxiv_version: 0910.1064v2 · doi: 10.48550/arxiv.0910.1064 · pith_short_12: N7BD5OGJJPRL · pith_short_16: N7BD5OGJJPRLL5FP · pith_short_8: N7BD5OGJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N7BD5OGJJPRLL5FPUOZ7L4KGUZ \
  | 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: 6fc23eb8c94be2b5f4afa3b3f5f146a66dc76142bb02d6cb24b1094c1a6addff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ad4cd26c911872b92e52933b4dcf25c6aeb4f040f8f7cc15c842d643eb8c08bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-06T17:44:00Z",
    "title_canon_sha256": "e38d5e15ba95f47501710012bc68c1316c9dfccfea29a4898e343e3097a95867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1064",
    "kind": "arxiv",
    "version": 2
  }
}