Pith Number

pith:ILJEOGFC

pith:2007:ILJEOGFCI4J64TNHUTJH6MBM36

not attested not anchored not stored refs pending

Canonical forms, higher rank numerical range, convexity, totally isotropic subspace, matrix equations

Chi-Kwong Li, Nung-sing Sze

arxiv:0706.1536 v2 · 2007-06-11 · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILJEOGFCI4J64TNHUTJH6MBM36}

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	2026-05-18T04:29:44.738906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d24718a24713ee4da7a4d27f302cdfa52eec0efcf3b69da074874264df409c

Aliases

arxiv: 0706.1536 · arxiv_version: 0706.1536v2 · doi: 10.48550/arxiv.0706.1536 · pith_short_12: ILJEOGFCI4J6 · pith_short_16: ILJEOGFCI4J64TNH · pith_short_8: ILJEOGFC

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/ILJEOGFCI4J64TNHUTJH6MBM36 \
  | 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: 42d24718a24713ee4da7a4d27f302cdfa52eec0efcf3b69da074874264df409c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bfe5b5bc0ef7adc62d4b5a6ac5a2e5dafb052e3e4a17103adbc9486d8f94c5",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-06-11T18:33:37Z",
    "title_canon_sha256": "8445fa61ae1e1014e02841ac494d5cb68e267130fcf3bfcf2b6729a7ef6ef437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1536",
    "kind": "arxiv",
    "version": 2
  }
}