Pith Number

pith:CUO3HSGD

pith:2026:CUO3HSGDKGCNBBVVBDYIFG5QG5

not attested not anchored not stored refs pending

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

Boris Kafidov

arxiv:2607.19439 v1 · 2026-07-21 · math.CO · 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{CUO3HSGDKGCNBBVVBDYIFG5QG5}

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	2026-07-23T00:23:49.937664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151db3c8c35184d086b508f0829bb037461a46e44d5b7adcf41cff0a7d8f8264

Aliases

arxiv: 2607.19439 · arxiv_version: 2607.19439v1 · doi: 10.48550/arxiv.2607.19439 · pith_short_12: CUO3HSGDKGCN · pith_short_16: CUO3HSGDKGCNBBVV · pith_short_8: CUO3HSGD

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/CUO3HSGDKGCNBBVVBDYIFG5QG5 \
  | 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: 151db3c8c35184d086b508f0829bb037461a46e44d5b7adcf41cff0a7d8f8264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69918b9a2c0b44e146a179c972ccb888e3fe4ab9516793d613545119da8a2055",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-21T07:34:02Z",
    "title_canon_sha256": "f3b4378edf52c890bfe9b4f9298b8ed8aece132371ffa9eabb5be1d496d1d738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19439",
    "kind": "arxiv",
    "version": 1
  }
}