Pith Number

pith:JGUH5O76

pith:2014:JGUH5O76YYW7Q6N224MBDO5M4J

not attested not anchored not stored refs pending

Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product

Jinchuan Hou, Kan He

arxiv:1411.5891 v1 · 2014-11-21 · 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{JGUH5O76YYW7Q6N224MBDO5M4J}

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	2026-05-18T02:33:01.970194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49a87ebbfec62df879bad71811bbace256fcb541441a96fb4fe6d2f4726b9208

Aliases

arxiv: 1411.5891 · arxiv_version: 1411.5891v1 · doi: 10.48550/arxiv.1411.5891 · pith_short_12: JGUH5O76YYW7 · pith_short_16: JGUH5O76YYW7Q6N2 · pith_short_8: JGUH5O76

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/JGUH5O76YYW7Q6N224MBDO5M4J \
  | 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: 49a87ebbfec62df879bad71811bbace256fcb541441a96fb4fe6d2f4726b9208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2dffaa44eccd352633e731423032f365122f7a057126850ef0c06b25cba0708",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-11-21T14:39:33Z",
    "title_canon_sha256": "d5f7d8c9eed53e0f7b343915dc4b9f7ca8ff0097bbfc1ae3ddb62f34ebf5743f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5891",
    "kind": "arxiv",
    "version": 1
  }
}