Pith Number

pith:UHZBSM25

pith:2010:UHZBSM25CBJFDD72PIXTODNR6L

not attested not anchored not stored refs pending

Corr\'adi and Hajnal's theorem for sparse random graphs

Choongbum Lee, J\'ozsef Balogh, Wojciech Samotij

arxiv:1011.5443 v2 · 2010-11-24 · 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{UHZBSM25CBJFDD72PIXTODNR6L}

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	2026-05-18T04:09:53.725621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f219335d1052518ffa7a2f370db1f2eaf76c775eaeaaafdd679e8c9d24c514

Aliases

arxiv: 1011.5443 · arxiv_version: 1011.5443v2 · doi: 10.48550/arxiv.1011.5443 · pith_short_12: UHZBSM25CBJF · pith_short_16: UHZBSM25CBJFDD72 · pith_short_8: UHZBSM25

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/UHZBSM25CBJFDD72PIXTODNR6L \
  | 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: a1f219335d1052518ffa7a2f370db1f2eaf76c775eaeaaafdd679e8c9d24c514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a248cc742eb3eaab4f5d7aeaabf43ddf64f0d66283e3bef61216c3bd109bd3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-24T17:52:10Z",
    "title_canon_sha256": "be89f19185fbefc2a37a87f39f16a8e9b5ce0940799f50fad2cece11bc8225e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5443",
    "kind": "arxiv",
    "version": 2
  }
}