Pith Number

pith:ZRHS2XXI

pith:2015:ZRHS2XXIGAC6QLRANDVHAQRLKD

not attested not anchored not stored refs pending

Triangularizability of trace-class operators with increasing spectrum

Roman Drnov\v{s}ek

arxiv:1508.07766 v2 · 2015-08-31 · 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{ZRHS2XXIGAC6QLRANDVHAQRLKD}

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	2026-05-18T00:55:34.457390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4f2d5ee83005e82e2068ea70422b50dbba646c523d68542370a74f5ed080da

Aliases

arxiv: 1508.07766 · arxiv_version: 1508.07766v2 · doi: 10.48550/arxiv.1508.07766 · pith_short_12: ZRHS2XXIGAC6 · pith_short_16: ZRHS2XXIGAC6QLRA · pith_short_8: ZRHS2XXI

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/ZRHS2XXIGAC6QLRANDVHAQRLKD \
  | 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: cc4f2d5ee83005e82e2068ea70422b50dbba646c523d68542370a74f5ed080da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251a0edbff57f4a4d8c4172cba097920c518d85e6f6c6c5885c811eb62be655b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-31T11:19:20Z",
    "title_canon_sha256": "a42688be3c31688410453376467b97ad65bd646f023c252d125b5a5b97b64258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07766",
    "kind": "arxiv",
    "version": 2
  }
}