Pith Number

pith:T5ZRBZ2V

pith:2026:T5ZRBZ2V3TIPZRQMRLSE7H3PWV

not attested not anchored not stored refs pending

A generalization of Kadell's orthogonality ex-conjecture

Wenlong Jiang, Yue Zhou, Zihao Huang

arxiv:2603.08041 v2 · 2026-03-09 · 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{T5ZRBZ2V3TIPZRQMRLSE7H3PWV}

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	2026-05-20T00:04:27.686113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7310e755dcd0fcc60c8ae44f9f6fb5657929e42c373b9c0b3c8da1060e12f0

Aliases

arxiv: 2603.08041 · arxiv_version: 2603.08041v2 · doi: 10.48550/arxiv.2603.08041 · pith_short_12: T5ZRBZ2V3TIP · pith_short_16: T5ZRBZ2V3TIPZRQM · pith_short_8: T5ZRBZ2V

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/T5ZRBZ2V3TIPZRQMRLSE7H3PWV \
  | 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: 9f7310e755dcd0fcc60c8ae44f9f6fb5657929e42c373b9c0b3c8da1060e12f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9acd42332fc82a5a4d4fb43cec8202a98a3b819dd00ebacc25091a6ba2a8b053",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-09T07:31:01Z",
    "title_canon_sha256": "2c26861fa2d532581020cc450c8b955f5de9a5441bb0aa73c57de149293f716c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08041",
    "kind": "arxiv",
    "version": 2
  }
}