Pith Number

pith:FLNF5V27

pith:2018:FLNF5V27I5I5AIZCF7M6VGVXFH

not attested not anchored not stored refs pending

Multi-Toeplitz operators and free pluriharmonic functions

Gelu Popescu

arxiv:1812.06842 v1 · 2018-12-17 · 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{FLNF5V27I5I5AIZCF7M6VGVXFH}

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	2026-05-17T23:58:09.262261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ada5ed75f4751d023222fd9ea9ab729c58df171ca004800e9a19e144e2ccd7a

Aliases

arxiv: 1812.06842 · arxiv_version: 1812.06842v1 · doi: 10.48550/arxiv.1812.06842 · pith_short_12: FLNF5V27I5I5 · pith_short_16: FLNF5V27I5I5AIZC · pith_short_8: FLNF5V27

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/FLNF5V27I5I5AIZCF7M6VGVXFH \
  | 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: 2ada5ed75f4751d023222fd9ea9ab729c58df171ca004800e9a19e144e2ccd7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbb1482186598fb48a77065da658f906a1214c204664626a1c8397b288a9ea6f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-17T15:35:41Z",
    "title_canon_sha256": "e5eb0f29265b501ac13f2a4f27c0d5d2b6ca2167ba733e643bf6f0afa2d4a730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06842",
    "kind": "arxiv",
    "version": 1
  }
}