Pith Number

pith:KQF6ZJLN

pith:2012:KQF6ZJLNS64LR4QJIFUVTWXY42

not attested not anchored not stored refs pending

On the Turan number of forests

Bernard Lidick\'y, Cory Palmer, Hong Liu

arxiv:1204.3102 v1 · 2012-04-13 · 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{KQF6ZJLNS64LR4QJIFUVTWXY42}

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

On the balanceability of some graph classes

Receipt and verification

First computed	2026-05-18T03:57:52.615005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540beca56d97b8b8f209416959daf8e683fa1ce152447093029107dd4830f046

Aliases

arxiv: 1204.3102 · arxiv_version: 1204.3102v1 · doi: 10.48550/arxiv.1204.3102 · pith_short_12: KQF6ZJLNS64L · pith_short_16: KQF6ZJLNS64LR4QJ · pith_short_8: KQF6ZJLN

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/KQF6ZJLNS64LR4QJIFUVTWXY42 \
  | 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: 540beca56d97b8b8f209416959daf8e683fa1ce152447093029107dd4830f046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fbf88a890084e0793a351deab1a50b72d4ab5a50880ab8d47e7b97d369bbdd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-13T20:16:38Z",
    "title_canon_sha256": "a7bad91fbef60633fb7115f93a3b919ceaa80052340ce8bafe7fa0047d272c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3102",
    "kind": "arxiv",
    "version": 1
  }
}