Pith Number

pith:4UXH5KM7

pith:2016:4UXH5KM7ATYRSDJMYT3GBJASRR

not attested not anchored not stored refs pending

Non-homogeneous $Tb$ Theorem for Bi-parameter $g$-Function

Mingming Cao, Qingying Xue

arxiv:1604.07037 v1 · 2016-04-24 · 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{4UXH5KM7ATYRSDJMYT3GBJASRR}

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	2026-05-18T01:16:23.242088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52e7ea99f04f1190d2cc4f660a4128c5a9d94fe1bd92b4ca4401e60fc7c5d60

Aliases

arxiv: 1604.07037 · arxiv_version: 1604.07037v1 · doi: 10.48550/arxiv.1604.07037 · pith_short_12: 4UXH5KM7ATYR · pith_short_16: 4UXH5KM7ATYRSDJM · pith_short_8: 4UXH5KM7

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/4UXH5KM7ATYRSDJMYT3GBJASRR \
  | 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: e52e7ea99f04f1190d2cc4f660a4128c5a9d94fe1bd92b4ca4401e60fc7c5d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc7a83209466861198ebef2015f1ba352eab56daa8d85ae73801d680f282f5d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-24T14:50:11Z",
    "title_canon_sha256": "7e0f0f53e35a9ded8989033b8b601f0de94eadd65af57479bb9d1f119d92699d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07037",
    "kind": "arxiv",
    "version": 1
  }
}