Pith Number

pith:DOBMSRTL

pith:2022:DOBMSRTLE2XMLIXDAIBFTFPIXV

not attested not anchored not stored refs pending

Dimension of divergence sets of oscillatory integrals with concave phase

Chu-Hee Cho, Shobu Shiraki

arxiv:2212.14330 v2 · 2022-12-29 · math.AP · 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{DOBMSRTLE2XMLIXDAIBFTFPIXV}

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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.

Cited by

1 paper in Pith

Maximal estimates for orthonormal systems of wave equations with sharp regularity

Receipt and verification

First computed	2026-07-05T09:10:40.595889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b82c9466b26aec5a2e302025995e8bd51950267b5e86a82b6b4af0cf37a907f

Aliases

arxiv: 2212.14330 · arxiv_version: 2212.14330v2 · doi: 10.48550/arxiv.2212.14330 · pith_short_12: DOBMSRTLE2XM · pith_short_16: DOBMSRTLE2XMLIXD · pith_short_8: DOBMSRTL

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/DOBMSRTLE2XMLIXDAIBFTFPIXV \
  | 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: 1b82c9466b26aec5a2e302025995e8bd51950267b5e86a82b6b4af0cf37a907f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a763292b2c989d1b636829f906794e2d15aa5dfa50a4cebd35895c30c8b660",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-29T14:49:42Z",
    "title_canon_sha256": "f152b1859918fd341f28957a2e4d0ed646562b799626a1f0f65d63435f34f525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14330",
    "kind": "arxiv",
    "version": 2
  }
}