Pith Number

pith:TPK53GF2

pith:2025:TPK53GF2CDYVXPXJ7ZHKSOCFL7

not attested not anchored not stored refs pending

Mizohata-Takeuchi inequalities for orthonormal systems

Itamar Oliveira, Jonathan Bennett, Neal Bez, Shohei Nakamura, Susana Gutierrez

arxiv:2506.03783 v2 · 2025-06-04 · 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{TPK53GF2CDYVXPXJ7ZHKSOCFL7}

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	2026-07-05T11:19:53.378547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd5dd98ba10f15bbee9fe4ea938455ff11d18399654ae9009d66875cc40e0ed

Aliases

arxiv: 2506.03783 · arxiv_version: 2506.03783v2 · doi: 10.48550/arxiv.2506.03783 · pith_short_12: TPK53GF2CDYV · pith_short_16: TPK53GF2CDYVXPXJ · pith_short_8: TPK53GF2

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/TPK53GF2CDYVXPXJ7ZHKSOCFL7 \
  | 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: 9bd5dd98ba10f15bbee9fe4ea938455ff11d18399654ae9009d66875cc40e0ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df702a0758417e82e118bce910dbac6b7af001606f31fafe9cd67926fd6486a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-04T09:44:17Z",
    "title_canon_sha256": "81bd782a9f537b1f47c34e6b5fbe0fb6fe528ff7afecf2f82991215e041877b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03783",
    "kind": "arxiv",
    "version": 2
  }
}