Pith Number

pith:H3WI7VZ3

pith:2015:H3WI7VZ37YR2IXDWHQS6FTR3UB

not attested not anchored not stored refs pending

A Spectral Characterization of $\mathcal{AN}$ Operators

Satish K. Pandey, Vern I. Paulsen

arxiv:1501.05869 v2 · 2015-01-23 · 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{H3WI7VZ37YR2IXDWHQS6FTR3UB}

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	2026-05-18T01:11:13.650068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eec8fd73bfe23a45c763c25e2ce3ba05973cceaea22d5083114d3d1fc54f4fe

Aliases

arxiv: 1501.05869 · arxiv_version: 1501.05869v2 · doi: 10.48550/arxiv.1501.05869 · pith_short_12: H3WI7VZ37YR2 · pith_short_16: H3WI7VZ37YR2IXDW · pith_short_8: H3WI7VZ3

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/H3WI7VZ37YR2IXDWHQS6FTR3UB \
  | 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: 3eec8fd73bfe23a45c763c25e2ce3ba05973cceaea22d5083114d3d1fc54f4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c36c4a5bb67fd47db204dfc59e7852f9c89fae6bcf9485d7aaa3cdded3069acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-23T16:53:21Z",
    "title_canon_sha256": "bb478802fbe812d23a48dc5fcff4f0e65a1432b8a2c82ab1d1df75015a8e0eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05869",
    "kind": "arxiv",
    "version": 2
  }
}