Pith Number

pith:L5HZXGT3

pith:2013:L5HZXGT3JC7I6ZKUMRATP24ILK

not attested not anchored not stored refs pending

Frames and operators in Schatten classes

Hu Bingyang, Kehe Zhu, Le Hai Khoi

arxiv:1302.2490 v1 · 2013-02-11 · 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{L5HZXGT3JC7I6ZKUMRATP24ILK}

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	2026-05-18T03:34:00.988371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4f9b9a7b48be8f6554644137eb885aab46dadfdcce1e5caa01afb824f28b66

Aliases

arxiv: 1302.2490 · arxiv_version: 1302.2490v1 · doi: 10.48550/arxiv.1302.2490 · pith_short_12: L5HZXGT3JC7I · pith_short_16: L5HZXGT3JC7I6ZKU · pith_short_8: L5HZXGT3

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/L5HZXGT3JC7I6ZKUMRATP24ILK \
  | 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: 5f4f9b9a7b48be8f6554644137eb885aab46dadfdcce1e5caa01afb824f28b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6ab5083b2c32703b8bcca15d357d85eef6e5bcc70772ea7b623a3407d263d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-11T14:50:42Z",
    "title_canon_sha256": "0108613e68ff8e2fbe3a5377c1799e499fa08b09eb480e1baf24b869badd1f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2490",
    "kind": "arxiv",
    "version": 1
  }
}