Pith Number

pith:WRS3B6IB

pith:2018:WRS3B6IBIZ6EX3LJTROOMZHGDS

not attested not anchored not stored refs pending

On $r$-uniform hypergraphs with circumference less than $r$

Alexandr Kostochka, Ruth Luo

arxiv:1807.04683 v1 · 2018-07-12 · 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{WRS3B6IBIZ6EX3LJTROOMZHGDS}

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	2026-05-18T00:10:52.812839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b465b0f901467c4bed699c5ce664e61cad878be5b7ce2a1c78fb03422ebfeaa6

Aliases

arxiv: 1807.04683 · arxiv_version: 1807.04683v1 · doi: 10.48550/arxiv.1807.04683 · pith_short_12: WRS3B6IBIZ6E · pith_short_16: WRS3B6IBIZ6EX3LJ · pith_short_8: WRS3B6IB

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/WRS3B6IBIZ6EX3LJTROOMZHGDS \
  | 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: b465b0f901467c4bed699c5ce664e61cad878be5b7ce2a1c78fb03422ebfeaa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f725b8889e1579aceffdace52cd47bff981539bc222423a6b7ba5273c614be86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-12T15:47:57Z",
    "title_canon_sha256": "d4887227f7510d5dad58299fdcfde6a4832d5a94196bf1c974fe3ae024ab3dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04683",
    "kind": "arxiv",
    "version": 1
  }
}