Pith Number

pith:HK3A2XEC

pith:2010:HK3A2XECHSP45ZMB7ERLHMQEZB

not attested not anchored not stored refs pending

Completely bounded kernels

Christopher S. Todd, Michael A. Dritschel, Tirthankar Bhattacharyya

arxiv:1001.3590 v3 · 2010-01-20 · math.OA · 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{HK3A2XECHSP45ZMB7ERLHMQEZB}

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	2026-05-18T03:38:33.284778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab60d5c823c9fcee581f922b3b204c859b78e91b47519c239778e4f3eb82975

Aliases

arxiv: 1001.3590 · arxiv_version: 1001.3590v3 · doi: 10.48550/arxiv.1001.3590 · pith_short_12: HK3A2XECHSP4 · pith_short_16: HK3A2XECHSP45ZMB · pith_short_8: HK3A2XEC

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/HK3A2XECHSP45ZMB7ERLHMQEZB \
  | 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: 3ab60d5c823c9fcee581f922b3b204c859b78e91b47519c239778e4f3eb82975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc9f752d809d86dc08c87a2a6428ee9f7ddee246b1da2be01545f173b67e5e9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-01-20T16:37:54Z",
    "title_canon_sha256": "349fd5415920cbe54bc5093bb7b7701833328e846828660f2f6ae7158f1cb059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3590",
    "kind": "arxiv",
    "version": 3
  }
}