Pith Number

pith:4BSSZVGO

pith:2013:4BSSZVGO47TMPXLFVYK6TUAZ3V

not attested not anchored not stored refs pending

Best approximation by diagonal compact operators

Alejandro Varela, Tamara Bottazzi

arxiv:1303.0739 v1 · 2013-03-04 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BSSZVGO47TMPXLFVYK6TUAZ3V}

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	2026-05-18T03:31:55.079828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0652cd4cee7e6c7dd65ae15e9d019dd6aa21606d2da0a3f0d9b59f3a80e6bda

Aliases

arxiv: 1303.0739 · arxiv_version: 1303.0739v1 · doi: 10.48550/arxiv.1303.0739 · pith_short_12: 4BSSZVGO47TM · pith_short_16: 4BSSZVGO47TMPXLF · pith_short_8: 4BSSZVGO

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/4BSSZVGO47TMPXLFVYK6TUAZ3V \
  | 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: e0652cd4cee7e6c7dd65ae15e9d019dd6aa21606d2da0a3f0d9b59f3a80e6bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721451cd8af83e16a17759c68df3dd9a5c66be0d4e0f2bf049f07236aa08c089",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-04T15:53:20Z",
    "title_canon_sha256": "26ea6b07dd2a553a03d986a54ac78e6a3a6198bbfc5c1fcb13808941ed3613b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0739",
    "kind": "arxiv",
    "version": 1
  }
}