Pith Number

pith:MMYITTXW

pith:2025:MMYITTXWBK2RYBNOK432FA2IG3

not attested not anchored not stored refs pending

Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields

Shih-Yu Chang

arxiv:2501.10603 v1 · 2025-01-17 · math.FA · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMYITTXWBK2RYBNOK432FA2IG3}

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	2026-07-05T10:02:30.593164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633089cef60ab51c05ae5737a2834836f5ff4704b1bac6b277426d8ba29dca4d

Aliases

arxiv: 2501.10603 · arxiv_version: 2501.10603v1 · doi: 10.48550/arxiv.2501.10603 · pith_short_12: MMYITTXWBK2R · pith_short_16: MMYITTXWBK2RYBNO · pith_short_8: MMYITTXW

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/MMYITTXWBK2RYBNOK432FA2IG3 \
  | 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: 633089cef60ab51c05ae5737a2834836f5ff4704b1bac6b277426d8ba29dca4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73cce80c93c87ca4f35b6ca1798d73ffcb03b016f8bf935d334c6177763b8bf",
    "cross_cats_sorted": [
      "math.OA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-01-17T23:34:17Z",
    "title_canon_sha256": "8a309c2da8e7694d20c493db797caeb0f10ad57419a29242276dede6e0059505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10603",
    "kind": "arxiv",
    "version": 1
  }
}