Pith Number

pith:JM62KPQE

pith:2025:JM62KPQEB22JQEULAHVRINKGET

not attested not anchored not stored refs pending

The Brown-Erd\H{o}s-S\'os conjecture in dense triple systems

Giovanne Santos, Mykhaylo Tyomkyn

arxiv:2508.09841 v1 · 2025-08-13 · 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{JM62KPQEB22JQEULAHVRINKGET}

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

A Simple Counting Argument for Dense Linear Hypergraphs

Receipt and verification

First computed	2026-07-05T11:53:22.804325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3da53e040eb498128b01eb14354624f8303f9c9ed0f032fbb4d52b819815a5

Aliases

arxiv: 2508.09841 · arxiv_version: 2508.09841v1 · doi: 10.48550/arxiv.2508.09841 · pith_short_12: JM62KPQEB22J · pith_short_16: JM62KPQEB22JQEUL · pith_short_8: JM62KPQE

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/JM62KPQEB22JQEULAHVRINKGET \
  | 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: 4b3da53e040eb498128b01eb14354624f8303f9c9ed0f032fbb4d52b819815a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6748abac018ba4faece50a0793f33856c3c9ecb4fa54b4ff1ff2dfdf867a461",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-13T14:20:59Z",
    "title_canon_sha256": "119d0e860241ec77aca694b57d10d006ec74bec5cd34ac24390453c1279fc716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09841",
    "kind": "arxiv",
    "version": 1
  }
}