Pith Number

pith:NAEDKJ5S

pith:2017:NAEDKJ5STLQOCYZAQF3AUNTVAX

not attested not anchored not stored refs pending

Functions of triples of noncommuting self-adjoint operators under perturbations of class $\boldsymbol S_p$

V.V. Peller

arxiv:1706.01969 v1 · 2017-05-19 · math.FA · math.CA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAEDKJ5STLQOCYZAQF3AUNTVAX}

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	2026-05-18T00:42:50.656813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68083527b29ae0e1632081760a367505c5d3ef34b3d70ff7e1811578472d67e5

Aliases

arxiv: 1706.01969 · arxiv_version: 1706.01969v1 · doi: 10.48550/arxiv.1706.01969 · pith_short_12: NAEDKJ5STLQO · pith_short_16: NAEDKJ5STLQOCYZA · pith_short_8: NAEDKJ5S

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/NAEDKJ5STLQOCYZAQF3AUNTVAX \
  | 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: 68083527b29ae0e1632081760a367505c5d3ef34b3d70ff7e1811578472d67e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb4b7e45d3c8904e51d01324079c688e8c4a0de92d23af85a407fe9df4d759a",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-19T23:59:27Z",
    "title_canon_sha256": "47af142d1bd390676e5edefe87675f0b0347d92b9844f5361174a26d2de0e5a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01969",
    "kind": "arxiv",
    "version": 1
  }
}