Pith Number

pith:C7DY23CS

pith:2017:C7DY23CSZ3HQWOSOGUHFUN7M73

not attested not anchored not stored refs pending

A Note on the Minimum Number of Edges in Hypergraphs with Property O

Ander Lamaison, Christopher Kusch, Gal Kronenberg, Piotr Micek, Tuan Tran

arxiv:1703.09767 v4 · 2017-03-28 · 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{C7DY23CSZ3HQWOSOGUHFUN7M73}

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	2026-05-17T23:45:00.232112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c78d6c52cecf0b3a4e350e5a37ecfef07b56d3ad39743dfc8c784c5ae386a8

Aliases

arxiv: 1703.09767 · arxiv_version: 1703.09767v4 · doi: 10.48550/arxiv.1703.09767 · pith_short_12: C7DY23CSZ3HQ · pith_short_16: C7DY23CSZ3HQWOSO · pith_short_8: C7DY23CS

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/C7DY23CSZ3HQWOSOGUHFUN7M73 \
  | 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: 17c78d6c52cecf0b3a4e350e5a37ecfef07b56d3ad39743dfc8c784c5ae386a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbbc08589cb4cec56fd62c9d2240cceb1c5bca4f0c07a6c1a354eec8e5cb4af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-28T19:42:57Z",
    "title_canon_sha256": "96646da3bfdf29abbf01a675a392c1f24aba97dff8df098513b15b0f9a37b800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09767",
    "kind": "arxiv",
    "version": 4
  }
}