Pith Number

pith:HQDUYNEF

pith:2014:HQDUYNEF4ZGLAZ4DYYC33WGORO

not attested not anchored not stored refs pending

Operator-valued dyadic shifts and the T(1) theorem

Timo S. H\"anninen, Tuomas P. Hyt\"onen

arxiv:1412.0470 v1 · 2014-12-01 · math.CA · 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{HQDUYNEF4ZGLAZ4DYYC33WGORO}

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	2026-05-18T00:41:46.791227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c074c3485e64cb06783c605bdd8ce8ba72d32f00227d57f377624304c8e53b0

Aliases

arxiv: 1412.0470 · arxiv_version: 1412.0470v1 · doi: 10.48550/arxiv.1412.0470 · pith_short_12: HQDUYNEF4ZGL · pith_short_16: HQDUYNEF4ZGLAZ4D · pith_short_8: HQDUYNEF

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/HQDUYNEF4ZGLAZ4DYYC33WGORO \
  | 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: 3c074c3485e64cb06783c605bdd8ce8ba72d32f00227d57f377624304c8e53b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3404a5d185cb43353b6eb21f6134f80f44ce4a8b1a0844a22d0c9a1ae9eb5d69",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-01T13:31:35Z",
    "title_canon_sha256": "7ff5185d9f409b751a7fdd1ce2fe693fb6cc2ac8e40247cd0dcb05ead7cab95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0470",
    "kind": "arxiv",
    "version": 1
  }
}