Pith Number

pith:7EXKOIED

pith:2026:7EXKOIEDTYKJESXPMCWHAKD73J

not attested not anchored not stored refs pending

Proof of Dittert's conjecture for dimensions \texorpdfstring{\(n\ge 17\)}{n >= 17}

Zhekai Pang

arxiv:2606.01531 v1 · 2026-06-01 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EXKOIEDTYKJESXPMCWHAKD73J}

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

Dittert's conjecture in dimension 16 via a joint-deficit scaling lemma

Receipt and verification

First computed	2026-06-02T02:04:35.719703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f92ea720839e14924aef60ac70287fda72341949c37784f437d0b97131361513

Aliases

arxiv: 2606.01531 · arxiv_version: 2606.01531v1 · doi: 10.48550/arxiv.2606.01531 · pith_short_12: 7EXKOIEDTYKJ · pith_short_16: 7EXKOIEDTYKJESXP · pith_short_8: 7EXKOIED

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/7EXKOIEDTYKJESXPMCWHAKD73J \
  | 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: f92ea720839e14924aef60ac70287fda72341949c37784f437d0b97131361513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda81500fcbcad8c0c65eee99a41b53e74d5ae1ea8521a7596642d89081f831e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-01T01:27:16Z",
    "title_canon_sha256": "d54b746438e77511f5d9696d3caec763b950e4e70464e5f6d034e1520af4501a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01531",
    "kind": "arxiv",
    "version": 1
  }
}