Pith Number

pith:MXDW5XDZ

pith:2026:MXDW5XDZ5A5WNRPJF3YX5AVSKN

not attested not anchored not stored refs pending

An Integral Mean Value Theorem for Weyl Sums over Broken Arcs

YaoJie Guo

arxiv:2608.04948 v1 · 2026-08-05 · 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{MXDW5XDZ5A5WNRPJF3YX5AVSKN}

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	2026-08-06T01:47:45.342989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c76edc79e83b66c5e92ef17e82b2536ea8f22fb9ec6e1ff0f8832aebdd13ac

Aliases

arxiv: 2608.04948 · arxiv_version: 2608.04948v1 · doi: 10.48550/arxiv.2608.04948 · pith_short_12: MXDW5XDZ5A5W · pith_short_16: MXDW5XDZ5A5WNRPJ · pith_short_8: MXDW5XDZ

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/MXDW5XDZ5A5WNRPJF3YX5AVSKN \
  | 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: 65c76edc79e83b66c5e92ef17e82b2536ea8f22fb9ec6e1ff0f8832aebdd13ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486a8ccf68c3ebdb06fe1c460e70a5f0b57406fb41c0dcbf5a4fa2bc892afb8a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-05T15:15:22Z",
    "title_canon_sha256": "3bae5c9175cb05d1c14fdfe6d3ab49d07cf68ee175e0d56296c22c7f42d4ca27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04948",
    "kind": "arxiv",
    "version": 1
  }
}