Pith Number

pith:T2BANWQP

pith:2016:T2BANWQPJZARTNSQ6BWI2F2PZC

not attested not anchored not stored refs pending

Complete spectral sets and numerical range

Hugo J. Woerdeman, Kenneth R. Davidson, Vern I. Paulsen

arxiv:1612.05683 v1 · 2016-12-17 · 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{T2BANWQPJZARTNSQ6BWI2F2PZC}

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	2026-05-18T00:54:46.966496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8206da0f4e4119b650f06c8d174fc895c84af63c3c54d044c5d758dbb4bbe7

Aliases

arxiv: 1612.05683 · arxiv_version: 1612.05683v1 · doi: 10.48550/arxiv.1612.05683 · pith_short_12: T2BANWQPJZAR · pith_short_16: T2BANWQPJZARTNSQ · pith_short_8: T2BANWQP

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/T2BANWQPJZARTNSQ6BWI2F2PZC \
  | 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: 9e8206da0f4e4119b650f06c8d174fc895c84af63c3c54d044c5d758dbb4bbe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e0f97b5e2302fe6329a7a20632c197788063094c392039aef5c6bd17142c54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-17T00:02:27Z",
    "title_canon_sha256": "ed876938df5dbfdbe611cd0fd71cdc43ab5abb18be54024e3739532fda1710ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05683",
    "kind": "arxiv",
    "version": 1
  }
}