Pith Number

pith:T6BLOMVJ

pith:2018:T6BLOMVJZLZZQ7VGYALUAE4FC7

not attested not anchored not stored refs pending

Tur\'an numbers of theta graphs

Boris Bukh, Michael Tait

arxiv:1804.10014 v3 · 2018-04-26 · 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{T6BLOMVJZLZZQ7VGYALUAE4FC7}

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

3-uniform hypergraphs with few Berge paths of length three between any two vertices

Receipt and verification

First computed	2026-07-05T00:16:02.089809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f82b732a9caf3987ea6c01740138517f175ad7df00aae3ef0215f35643d4594

Aliases

arxiv: 1804.10014 · arxiv_version: 1804.10014v3 · doi: 10.48550/arxiv.1804.10014 · pith_short_12: T6BLOMVJZLZZ · pith_short_16: T6BLOMVJZLZZQ7VG · pith_short_8: T6BLOMVJ

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/T6BLOMVJZLZZQ7VGYALUAE4FC7 \
  | 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: 9f82b732a9caf3987ea6c01740138517f175ad7df00aae3ef0215f35643d4594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e6098697cd03851adf7b5cb719df1db8d12405174797a7571930fb64798979",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-26T12:16:03Z",
    "title_canon_sha256": "c76328748a8e8e5abc87e89070681a72d37ba97432af4becf2795fbe6b59f0d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10014",
    "kind": "arxiv",
    "version": 3
  }
}