Pith Number

pith:ANGXK3DI

pith:2024:ANGXK3DIAKQBFJKIH3XM5BBGXK

not attested not anchored not stored refs pending

Operator Characterization via Projectors and Nilpotents

Shih-Yu Chang

arxiv:2411.11883 v1 · 2024-11-04 · 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{ANGXK3DIAKQBFJKIH3XM5BBGXK}

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

Tensor-Lifted Multivariate Functional Calculus Beyond Commutativity and Boundedness

Receipt and verification

First computed	2026-07-05T09:37:13.376874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034d756c6802a012a5483eeece8426ba9f033efb2b5d4ddbac4a31daf97fc292

Aliases

arxiv: 2411.11883 · arxiv_version: 2411.11883v1 · doi: 10.48550/arxiv.2411.11883 · pith_short_12: ANGXK3DIAKQB · pith_short_16: ANGXK3DIAKQBFJKI · pith_short_8: ANGXK3DI

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/ANGXK3DIAKQBFJKIH3XM5BBGXK \
  | 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: 034d756c6802a012a5483eeece8426ba9f033efb2b5d4ddbac4a31daf97fc292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9392cfb0ce0734c720f04d8c89677a03bf9a1705a2f890f3c04819015a2499f5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-04T23:19:57Z",
    "title_canon_sha256": "c393fd0a89e60e29646a94ce73a095c32e21365b18d0fb3d1fbc030b37e92a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11883",
    "kind": "arxiv",
    "version": 1
  }
}