Pith Number

pith:4NQTGYXK

pith:2018:4NQTGYXK3GBRS4BXM3XJRFLWS6

not attested not anchored not stored refs pending

Improved bounds on the extremal function of hypergraphs

William Zhang

arxiv:1807.02411 v1 · 2018-07-05 · 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{4NQTGYXK3GBRS4BXM3XJRFLWS6}

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	2026-05-18T00:11:22.142523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3613362ead98319703766ee9895769794d5fa04c1525c33fe9a1a9bd02cc8e6

Aliases

arxiv: 1807.02411 · arxiv_version: 1807.02411v1 · doi: 10.48550/arxiv.1807.02411 · pith_short_12: 4NQTGYXK3GBR · pith_short_16: 4NQTGYXK3GBRS4BX · pith_short_8: 4NQTGYXK

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/4NQTGYXK3GBRS4BXM3XJRFLWS6 \
  | 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: e3613362ead98319703766ee9895769794d5fa04c1525c33fe9a1a9bd02cc8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a31890faa5f0a655253f4aa9cec0a8a166f0bfaf69d4a8c467c3649dc83af96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-05T00:46:02Z",
    "title_canon_sha256": "31e5c897ad58cd72f59ed9fe97562287320e8df2299bc89d6b489dd0af6fb861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02411",
    "kind": "arxiv",
    "version": 1
  }
}