Pith Number

pith:MIDQHH2O

pith:2015:MIDQHH2OYQPRLHY5HSTGDF2CTP

not attested not anchored not stored refs pending

Completely contractive projections on operator algebras

David P. Blecher, Matthew Neal

arxiv:1508.01530 v2 · 2015-08-06 · math.OA · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIDQHH2OYQPRLHY5HSTGDF2CTP}

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	2026-05-18T01:11:33.443978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6207039f4ec41f159f1d3ca66197429be837b2d169f0c3f144dd432583068c77

Aliases

arxiv: 1508.01530 · arxiv_version: 1508.01530v2 · doi: 10.48550/arxiv.1508.01530 · pith_short_12: MIDQHH2OYQPR · pith_short_16: MIDQHH2OYQPRLHY5 · pith_short_8: MIDQHH2O

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/MIDQHH2OYQPRLHY5HSTGDF2CTP \
  | 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: 6207039f4ec41f159f1d3ca66197429be837b2d169f0c3f144dd432583068c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edefd731c066ceacb0eda536f98f15c5c816513a0512e17e99daf9954be2e978",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-08-06T20:12:44Z",
    "title_canon_sha256": "ad26ded59cee215c452a5d5fbdf74e09b24a89a569950de656c7352cd0139a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01530",
    "kind": "arxiv",
    "version": 2
  }
}