Pith Number

pith:6ILSN5MB

pith:2006:6ILSN5MBTDK5AYKOJFS4VWWRWL

not attested not anchored not stored refs pending

Ultimate Generalization to Monotonicity for Uniform Convergence of Trigonometric Series

Dan-Sheng Yu, Ping Zhou, Song-Ping Zhou

arxiv:math/0611805 v1 · 2006-11-27 · 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{6ILSN5MBTDK5AYKOJFS4VWWRWL}

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	2026-07-04T14:57:42.149392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21726f58198d5d0614e4965cadad1b2cf50e0f1b734851932f24b3615444193

Aliases

arxiv: math/0611805 · arxiv_version: math/0611805v1 · doi: 10.48550/arxiv.math/0611805 · pith_short_12: 6ILSN5MBTDK5 · pith_short_16: 6ILSN5MBTDK5AYKO · pith_short_8: 6ILSN5MB

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/6ILSN5MBTDK5AYKOJFS4VWWRWL \
  | 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: f21726f58198d5d0614e4965cadad1b2cf50e0f1b734851932f24b3615444193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8032791e694fc24ab4c2ede2c463efad5c858149dc4b508f4f953395d86c20a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-11-27T02:07:06Z",
    "title_canon_sha256": "5370f866d0c9cbaaaa7a4bf96625afc0611ee8a2f285065ecdc4ac3102a1011c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611805",
    "kind": "arxiv",
    "version": 1
  }
}