Pith Number

pith:BOMOVFRI

pith:2015:BOMOVFRIPQRIHKNIKFLKEYK4XH

not attested not anchored not stored refs pending

Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary

Erin Militzer, Ilya M. Spitkovsky, Linda J. Patton, Ming-Cheng Tsai

arxiv:1511.08916 v1 · 2015-11-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOMOVFRIPQRIHKNIKFLKEYK4XH}

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	2026-05-18T01:25:46.128273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b98ea96287c2283a9a85156a2615cb9e8c7c01a6d4655cc40747b825a7578e3

Aliases

arxiv: 1511.08916 · arxiv_version: 1511.08916v1 · doi: 10.48550/arxiv.1511.08916 · pith_short_12: BOMOVFRIPQRI · pith_short_16: BOMOVFRIPQRIHKNI · pith_short_8: BOMOVFRI

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/BOMOVFRIPQRIHKNIKFLKEYK4XH \
  | 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: 0b98ea96287c2283a9a85156a2615cb9e8c7c01a6d4655cc40747b825a7578e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0fb7dfd8a67b3957a4cd98e79c5e7020692ba90f20328446ea6adee82c4b50b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-28T17:47:56Z",
    "title_canon_sha256": "d3e4e2f73ee28407aa4ac520da5ac0fca0bea2c1a2befe20f72b22ccdac3d018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08916",
    "kind": "arxiv",
    "version": 1
  }
}