Pith Number

pith:22FKBH37

pith:2026:22FKBH37JDKZDCVI7A6OPCR6KD

not attested not anchored not stored refs pending

Sharp sign uncertainty for trigonometric polynomials

Tolibjon Ismoilov

arxiv:2606.02299 v1 · 2026-06-01 · 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{22FKBH37JDKZDCVI7A6OPCR6KD}

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	2026-06-02T03:04:55.402735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68aa09f7f48d5918aa8f83ce78a3e50d340236ba4bfe26f3b720e3219720ed0

Aliases

arxiv: 2606.02299 · arxiv_version: 2606.02299v1 · doi: 10.48550/arxiv.2606.02299 · pith_short_12: 22FKBH37JDKZ · pith_short_16: 22FKBH37JDKZDCVI · pith_short_8: 22FKBH37

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/22FKBH37JDKZDCVI7A6OPCR6KD \
  | 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: d68aa09f7f48d5918aa8f83ce78a3e50d340236ba4bfe26f3b720e3219720ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33461689d44bc56e72500a6d2f8051ebe05728ee8fa52f14978141bc4f48ba0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-01T14:22:30Z",
    "title_canon_sha256": "c14cd624527241060bdabf6a46033aec2c47b3c18da7b99a3ca7d9c9339b0d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02299",
    "kind": "arxiv",
    "version": 1
  }
}