Pith Number

pith:BQ2AD37F

pith:2011:BQ2AD37FJVNCJG2OC5CXV7QPTX

not attested not anchored not stored refs pending

Unitary orbits of Hermitian operators with convex or concave functions

Eun-Young Lee, Jean-Christophe Bourin

arxiv:1109.2384 v1 · 2011-09-12 · 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{BQ2AD37FJVNCJG2OC5CXV7QPTX}

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	2026-05-18T02:58:00.496659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3401efe54d5a249b4e17457afe0f9df97c4ca84626dd40e17ab750fd76043a

Aliases

arxiv: 1109.2384 · arxiv_version: 1109.2384v1 · doi: 10.48550/arxiv.1109.2384 · pith_short_12: BQ2AD37FJVNC · pith_short_16: BQ2AD37FJVNCJG2O · pith_short_8: BQ2AD37F

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/BQ2AD37FJVNCJG2OC5CXV7QPTX \
  | 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: 0c3401efe54d5a249b4e17457afe0f9df97c4ca84626dd40e17ab750fd76043a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534081480916bbef92290791ea686b7f973c467021805b78302b77b493596506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-12T07:17:33Z",
    "title_canon_sha256": "43c546cd1af565f5b08cb0bbdb95af5a41ae9143bdf2550c4b048f460e8fc482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2384",
    "kind": "arxiv",
    "version": 1
  }
}