Pith Number

pith:F2SKEGWQ

pith:2011:F2SKEGWQ6WFYMPTMT62ZXDX45B

not attested not anchored not stored refs pending

Boundary representations and pure completely positive maps

Craig Kleski

arxiv:1110.4149 v1 · 2011-10-19 · 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{F2SKEGWQ6WFYMPTMT62ZXDX45B}

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	2026-05-18T04:10:46.635916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea4a21ad0f58b863e6c9fb59b8efce84346f5cef1d7b63791e0b07a118a5223

Aliases

arxiv: 1110.4149 · arxiv_version: 1110.4149v1 · doi: 10.48550/arxiv.1110.4149 · pith_short_12: F2SKEGWQ6WFY · pith_short_16: F2SKEGWQ6WFYMPTM · pith_short_8: F2SKEGWQ

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/F2SKEGWQ6WFYMPTMT62ZXDX45B \
  | 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: 2ea4a21ad0f58b863e6c9fb59b8efce84346f5cef1d7b63791e0b07a118a5223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dcdef71287194ac1c9e31aacb88675f4ae9b7f9a83e5d329f89db17c5fbe21",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-19T00:16:24Z",
    "title_canon_sha256": "d14403af6682c72d5fdfd3985a7d1e98cfb73bcd5ad34aacf06a505917bd4509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4149",
    "kind": "arxiv",
    "version": 1
  }
}