Pith Number

pith:4XLZSZGU

pith:2011:4XLZSZGUMOYGP22NM2RNINYORI

not attested not anchored not stored refs pending

Open projections in operator algebras II: Compact projections

David P. Blecher, Matthew Neal

arxiv:1109.5347 v2 · 2011-09-25 · 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{4XLZSZGUMOYGP22NM2RNINYORI}

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	2026-05-18T04:00:01.130224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d79964d463b067eb4d66a2d4370e8a0c49533bf6d89f48ba5d310958f61366

Aliases

arxiv: 1109.5347 · arxiv_version: 1109.5347v2 · doi: 10.48550/arxiv.1109.5347 · pith_short_12: 4XLZSZGUMOYG · pith_short_16: 4XLZSZGUMOYGP22N · pith_short_8: 4XLZSZGU

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/4XLZSZGUMOYGP22NM2RNINYORI \
  | 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: e5d79964d463b067eb4d66a2d4370e8a0c49533bf6d89f48ba5d310958f61366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5029adcf8146789a297e09f75ca8951809664414da03d87153bd0680c24f19",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-25T12:12:06Z",
    "title_canon_sha256": "729d47beac82cc66b137949b89a58547b95e1fa2209eaaaf8f5151b6d6f04220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5347",
    "kind": "arxiv",
    "version": 2
  }
}