Pith Number

pith:D3XXR426

pith:2019:D3XXR426F4HCMH54TGQ7J4ODBA

not attested not anchored not stored refs pending

An operator-valued $T1$ theory for symmetric CZOs

Guixiang Hong, Honghai Liu, Tao Mei

arxiv:1907.10791 v1 · 2019-07-25 · math.CA · 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{D3XXR426F4HCMH54TGQ7J4ODBA}

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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	2026-05-17T23:39:34.483913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eef78f35e2f0e261fbc99a1f4f1c30809261222480c0137612ab7cdfc60be3d

Aliases

arxiv: 1907.10791 · arxiv_version: 1907.10791v1 · doi: 10.48550/arxiv.1907.10791 · pith_short_12: D3XXR426F4HC · pith_short_16: D3XXR426F4HCMH54 · pith_short_8: D3XXR426

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/D3XXR426F4HCMH54TGQ7J4ODBA \
  | 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: 1eef78f35e2f0e261fbc99a1f4f1c30809261222480c0137612ab7cdfc60be3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaaf7ddec2eadbf5162c4fc5860c958e9bb5f795409f8bd58ad04ec00c042739",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-25T01:44:58Z",
    "title_canon_sha256": "870431f1ccbd7417bca454845c9d8d825949eb204b2d7e29a943dd1143fb83da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10791",
    "kind": "arxiv",
    "version": 1
  }
}