Pith Number

pith:6WASXEKQ

pith:2018:6WASXEKQVQGY6A56PKSN5TI7KC

not attested not anchored not stored refs pending

On the Tur\'an density of $\{1, 3\}$-Hypergraphs

Linyuan Lu, Shuliang Bai

arxiv:1802.06143 v1 · 2018-02-16 · 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{6WASXEKQVQGY6A56PKSN5TI7KC}

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	2026-05-18T00:23:04.319521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5812b9150ac0d8f03be7aa4decd1f508e3a2cdbce74b4f452851dfb087ca915

Aliases

arxiv: 1802.06143 · arxiv_version: 1802.06143v1 · doi: 10.48550/arxiv.1802.06143 · pith_short_12: 6WASXEKQVQGY · pith_short_16: 6WASXEKQVQGY6A56 · pith_short_8: 6WASXEKQ

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/6WASXEKQVQGY6A56PKSN5TI7KC \
  | 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: f5812b9150ac0d8f03be7aa4decd1f508e3a2cdbce74b4f452851dfb087ca915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8fce8d4fb0681bf66d2a7a0153cbfa29332f3c0e784584e9c56c3205d558f75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-16T22:02:22Z",
    "title_canon_sha256": "e62b6344d77964e799e072be4d3a7d0e85453f35ede1af33c063817a6b7ef781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06143",
    "kind": "arxiv",
    "version": 1
  }
}