Pith Number

pith:VFQFHSVY

pith:2026:VFQFHSVYOIJ3DGYJUHMFGI7ONP

not attested not anchored not stored refs pending

Optimal rates of uniform convergence for weighted Birkhoff averages via almost all rotations

Yong Li, Zhicheng Tong

arxiv:2607.06907 v1 · 2026-07-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFQFHSVYOIJ3DGYJUHMFGI7ONP}

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.

Cited by

1 paper in Pith

Laskar's frequency map analysis revisited

Receipt and verification

First computed	2026-07-09T00:19:39.217469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96053cab87213b19b09a1d85323ee6bd79ac012fd00d5334872c040a926950f

Aliases

arxiv: 2607.06907 · arxiv_version: 2607.06907v1 · doi: 10.48550/arxiv.2607.06907 · pith_short_12: VFQFHSVYOIJ3 · pith_short_16: VFQFHSVYOIJ3DGYJ · pith_short_8: VFQFHSVY

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/VFQFHSVYOIJ3DGYJUHMFGI7ONP \
  | 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: a96053cab87213b19b09a1d85323ee6bd79ac012fd00d5334872c040a926950f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b49e50f2956b37637b851169880daa14358a9921abe44fd44d4f4d3f5a325d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-08T01:59:47Z",
    "title_canon_sha256": "63646871c9256e24d486cb7afcb797c7b4a35e394b86e7aee7117ba37f4f929f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06907",
    "kind": "arxiv",
    "version": 1
  }
}