Pith Number

pith:JSYAF56U

pith:2021:JSYAF56URE7WQBJHJIAXJOSHFF

not attested not anchored not stored refs pending

Uniform Oscillatory Integral estimates for Convex Phases via Sublevel Set estimates

John Green

arxiv:2111.05395 v1 · 2021-11-09 · 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{JSYAF56URE7WQBJHJIAXJOSHFF}

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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

Damping oscillatory Integrals of convex analytic functions

Receipt and verification

First computed	2026-07-05T03:30:43.718155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb002f7d4893f6805274a0174ba4729459bc14395cfb2e247fa803eec90b07f

Aliases

arxiv: 2111.05395 · arxiv_version: 2111.05395v1 · doi: 10.48550/arxiv.2111.05395 · pith_short_12: JSYAF56URE7W · pith_short_16: JSYAF56URE7WQBJH · pith_short_8: JSYAF56U

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/JSYAF56URE7WQBJHJIAXJOSHFF \
  | 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: 4cb002f7d4893f6805274a0174ba4729459bc14395cfb2e247fa803eec90b07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbca6c5062644e8ca637c0709fc98b36c70f9d3c35e21d65ae1ab6b044f79101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-11-09T20:06:39Z",
    "title_canon_sha256": "6a4644c97efeb943808f7ec659513fd6802003f4f1259237476f2eeaba3325b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05395",
    "kind": "arxiv",
    "version": 1
  }
}