Pith Number

pith:GYJIWPQU

pith:2017:GYJIWPQUPTB7W74B5OIQNV2T7B

not attested not anchored not stored refs pending

The unified theory for the necessity of bounded commutators and applications

Huoxiong Wu, Jiali Lian, Weichao Guo

arxiv:1709.08279 v2 · 2017-09-24 · 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{GYJIWPQUPTB7W74B5OIQNV2T7B}

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	2026-05-18T00:32:54.785374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36128b3e147cc3fb7f81eb9106d753f854d11bf866796437642bd36205f60d58

Aliases

arxiv: 1709.08279 · arxiv_version: 1709.08279v2 · doi: 10.48550/arxiv.1709.08279 · pith_short_12: GYJIWPQUPTB7 · pith_short_16: GYJIWPQUPTB7W74B · pith_short_8: GYJIWPQU

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/GYJIWPQUPTB7W74B5OIQNV2T7B \
  | 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: 36128b3e147cc3fb7f81eb9106d753f854d11bf866796437642bd36205f60d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e33c07ee1c4ef8189c8bfa8740fc5e590abfca8fdb0d9410dd9ec110565efeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-24T23:02:24Z",
    "title_canon_sha256": "d3bbd6843861ad03d11f00ded9968cfb1ed60092766d6ef0f1a1f42ca7b40488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08279",
    "kind": "arxiv",
    "version": 2
  }
}