Pith Number

pith:D27XZBMO

pith:2022:D27XZBMOYUEXIBXJJISVLCXGC2

not attested not anchored not stored refs pending

Lower bounds for the Tur\'an densities of daisies

David Ellis, Dylan King

arxiv:2204.08930 v5 · 2022-04-19 · 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{D27XZBMOYUEXIBXJJISVLCXGC2}

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	2026-07-05T05:54:11.646255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ebf7c858ec5097406e94a25558ae61696f103bead8142b6dbb24505fca7e6f3

Aliases

arxiv: 2204.08930 · arxiv_version: 2204.08930v5 · doi: 10.48550/arxiv.2204.08930 · pith_short_12: D27XZBMOYUEX · pith_short_16: D27XZBMOYUEXIBXJ · pith_short_8: D27XZBMO

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/D27XZBMOYUEXIBXJJISVLCXGC2 \
  | 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: 1ebf7c858ec5097406e94a25558ae61696f103bead8142b6dbb24505fca7e6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b0d0817e4f82dc5f883d87e3d1ff88a8a26f165bdcdbaa71a4f8c9bb61f4d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-19T14:59:37Z",
    "title_canon_sha256": "51a15b2cb5a19a4650644a5ee1844834bc972d5fa9431a8784ed846c069fa622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08930",
    "kind": "arxiv",
    "version": 5
  }
}