Pith Number

pith:G3POQNL2

pith:2018:G3POQNL2DS42WT42L647GRCLVB

not attested not anchored not stored refs pending

The Tur\'an number of Berge-K_4 in triple systems

Andras Gyarfas

arxiv:1807.11211 v1 · 2018-07-30 · 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{G3POQNL2DS42WT42L647GRCLVB}

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	2026-05-18T00:09:32.621292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36dee8357a1cb9ab4f9a5fb9f3444ba8713280cc03762836989b018c7eff4662

Aliases

arxiv: 1807.11211 · arxiv_version: 1807.11211v1 · doi: 10.48550/arxiv.1807.11211 · pith_short_12: G3POQNL2DS42 · pith_short_16: G3POQNL2DS42WT42 · pith_short_8: G3POQNL2

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/G3POQNL2DS42WT42L647GRCLVB \
  | 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: 36dee8357a1cb9ab4f9a5fb9f3444ba8713280cc03762836989b018c7eff4662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce47e4c181cab1528ec7b10305aa675a18a9a9d9f00ef4037c76ea8a419af2d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-30T07:45:26Z",
    "title_canon_sha256": "9b1424e86e32ae87c4c4f2b2db57ed14e6dad9b06349cba46e568e26e3a1a6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11211",
    "kind": "arxiv",
    "version": 1
  }
}