Pith Number

pith:GP5UK4PF

pith:2024:GP5UK4PFZKN2CWAKF6WUPYZ2AM

not attested not anchored not stored refs pending

Some new Bollob\'as-type inequalities

Erfei Yue

arxiv:2405.17639 v2 · 2024-05-27 · 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{GP5UK4PFZKN2CWAKF6WUPYZ2AM}

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

On Bollob\'as-type theorems of $d$-tuples

Receipt and verification

First computed	2026-07-05T08:38:09.976147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33fb4571e5ca9ba1580a2fad47e33a030de866a64a9acf72419c69495a569fae

Aliases

arxiv: 2405.17639 · arxiv_version: 2405.17639v2 · doi: 10.48550/arxiv.2405.17639 · pith_short_12: GP5UK4PFZKN2 · pith_short_16: GP5UK4PFZKN2CWAK · pith_short_8: GP5UK4PF

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/GP5UK4PFZKN2CWAKF6WUPYZ2AM \
  | 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: 33fb4571e5ca9ba1580a2fad47e33a030de866a64a9acf72419c69495a569fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "819cab4a1de6661c7c0de09a934713594f9564964b90e06dd609e7fdced4972b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-27T20:20:29Z",
    "title_canon_sha256": "b72d6c9df46355d7761b730b3c0e018d26fa43bebe76c738093b3928ea6157a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17639",
    "kind": "arxiv",
    "version": 2
  }
}