Pith Number

pith:EZCSTRX2

pith:2025:EZCSTRX2YPHPXFLJYGPOCKTLK2

not attested not anchored not stored refs pending

Stratification theorems for exponential sums in families

Dante Bonolis, Emmanuel Kowalski, Katharine Woo

arxiv:2506.18299 v3 · 2025-06-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZCSTRX2YPHPXFLJYGPOCKTLK2}

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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

2 papers in Pith

Multiple Gauss sums

Receipt and verification

First computed	2026-05-22T01:03:43.672149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

264529c6fac3cefb9569c19ee12a6b56a54804880271cfce28e7ad7426c3fb22

Aliases

arxiv: 2506.18299 · arxiv_version: 2506.18299v3 · doi: 10.48550/arxiv.2506.18299 · pith_short_12: EZCSTRX2YPHP · pith_short_16: EZCSTRX2YPHPXFLJ · pith_short_8: EZCSTRX2

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/EZCSTRX2YPHPXFLJYGPOCKTLK2 \
  | 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: 264529c6fac3cefb9569c19ee12a6b56a54804880271cfce28e7ad7426c3fb22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185615014f62803794123c3bd322f6a20a4dbae29f07e7a9c6592fd2376c9f4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-23T05:33:11Z",
    "title_canon_sha256": "0c17cced72e15dde95e2500fa65c9d9cab80dd20838d7bf8a5e96887efa03682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18299",
    "kind": "arxiv",
    "version": 3
  }
}