Pith Number

pith:44LWDDCE

pith:2026:44LWDDCE5NBGPOJNTAWKNCE2KR

not attested not anchored not stored refs pending

On the Failure of the Upper Bound in the Refined BMV Conjecture and a Pinching Correction

Trung Hoa Dinh

arxiv:2605.17782 v1 · 2026-05-18 · math.CO · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44LWDDCE5NBGPOJNTAWKNCE2KR}

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	2026-05-20T00:04:57.920947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e717618c44eb4267b92d982ca6889a545f00e21f18508e0d62a1990d31fac09d

Aliases

arxiv: 2605.17782 · arxiv_version: 2605.17782v1 · doi: 10.48550/arxiv.2605.17782 · pith_short_12: 44LWDDCE5NBG · pith_short_16: 44LWDDCE5NBGPOJN · pith_short_8: 44LWDDCE

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/44LWDDCE5NBGPOJNTAWKNCE2KR \
  | 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: e717618c44eb4267b92d982ca6889a545f00e21f18508e0d62a1990d31fac09d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806f562f35906a2a72a11d32501b0228581d1009250db3a7ca16f9b6bce196d5",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T03:02:04Z",
    "title_canon_sha256": "be2b2d883567034eac47c7840383e058c56aba991a62463e426c95ebecdd5f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17782",
    "kind": "arxiv",
    "version": 1
  }
}