Pith Number

pith:T5GXJLUR

pith:2022:T5GXJLURAVIOSHKWKG36GQ65YM

not attested not anchored not stored refs pending

Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures

Bochen Liu

arxiv:2203.02973 v1 · 2022-03-06 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5GXJLURAVIOSHKWKG36GQ65YM}

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	2026-07-05T04:02:29.687665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4d74ae910550e91d5651b7e343ddc30161267638b43fc3669b30db029d8c00

Aliases

arxiv: 2203.02973 · arxiv_version: 2203.02973v1 · doi: 10.48550/arxiv.2203.02973 · pith_short_12: T5GXJLURAVIO · pith_short_16: T5GXJLURAVIOSHKW · pith_short_8: T5GXJLUR

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/T5GXJLURAVIOSHKWKG36GQ65YM \
  | 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: 9f4d74ae910550e91d5651b7e343ddc30161267638b43fc3669b30db029d8c00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116a834d3ea3204dcc9db746ba741a3cb4ea91a437bfa232e28d61294be1ac50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-03-06T14:34:39Z",
    "title_canon_sha256": "0a1cf91968d2b250b227ff66edee36da98957ceb92404fafab0cbef583338dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.02973",
    "kind": "arxiv",
    "version": 1
  }
}