Pith Number

pith:3WOVA5Z4

pith:2018:3WOVA5Z47LJPUGK5IAY2PDOGAV

not attested not anchored not stored refs pending

Operators affiliated to the free shift on the free Hardy space

Michael T. Jury, Robert T.W. Martin

arxiv:1807.08373 v1 · 2018-07-22 · 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{3WOVA5Z47LJPUGK5IAY2PDOGAV}

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	2026-05-18T00:10:08.229530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9d50773cfad2fa195d4031a78dc6055e560804e3e774fa82738ff508be2481

Aliases

arxiv: 1807.08373 · arxiv_version: 1807.08373v1 · doi: 10.48550/arxiv.1807.08373 · pith_short_12: 3WOVA5Z47LJP · pith_short_16: 3WOVA5Z47LJPUGK5 · pith_short_8: 3WOVA5Z4

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/3WOVA5Z47LJPUGK5IAY2PDOGAV \
  | 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: dd9d50773cfad2fa195d4031a78dc6055e560804e3e774fa82738ff508be2481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d122f736d11e987a47cae44cfaf2ea7e56617dc5d4d38d3a0ed3d515feb64dc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-07-22T21:33:57Z",
    "title_canon_sha256": "215eda3a6c04375aa2ea2f365834a30fedde5d983fdb3d9d1b5aa477b7f48c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08373",
    "kind": "arxiv",
    "version": 1
  }
}