Pith Number

pith:CU5NECIQ

pith:2023:CU5NECIQHGAEFAAY467INAEONV

not attested not anchored not stored refs pending

Tight Bound and Structural Theorem for Joints

Hung-Hsun Hans Yu, Ting-Wei Chao

arxiv:2307.15380 v3 · 2023-07-28 · 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{CU5NECIQHGAEFAAY467INAEONV}

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

Uniform set systems with small VC-dimension

Receipt and verification

First computed	2026-07-05T07:27:07.301469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153ad209103980428018e7be86808e6d44158cca777d8ac833b984e46206217e

Aliases

arxiv: 2307.15380 · arxiv_version: 2307.15380v3 · doi: 10.48550/arxiv.2307.15380 · pith_short_12: CU5NECIQHGAE · pith_short_16: CU5NECIQHGAEFAAY · pith_short_8: CU5NECIQ

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/CU5NECIQHGAEFAAY467INAEONV \
  | 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: 153ad209103980428018e7be86808e6d44158cca777d8ac833b984e46206217e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a8502f4bd3625cae82f4b7a4d9cfcd5ec19ad898d1a71649e9e8bea7a61343",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-28T08:03:58Z",
    "title_canon_sha256": "43ab7a613a8b339096fdabe114bd5598791154bab45b489d5fc8f24f0d9db9fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15380",
    "kind": "arxiv",
    "version": 3
  }
}