Pith Number

pith:CCG6F2YJ

pith:2017:CCG6F2YJSMH7SZQALW3BBHBCEQ

not attested not anchored not stored refs pending

The duality about function set and Fefferman-Stein Decomposition

Qixiang Yang, Tao Qian

arxiv:1702.00520 v1 · 2017-02-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCG6F2YJSMH7SZQALW3BBHBCEQ}

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	2026-05-18T00:51:33.375195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108de2eb09930ff966005db6109c2224309ffe76e1ea8ea186e9ffaf6f65ef33

Aliases

arxiv: 1702.00520 · arxiv_version: 1702.00520v1 · doi: 10.48550/arxiv.1702.00520 · pith_short_12: CCG6F2YJSMH7 · pith_short_16: CCG6F2YJSMH7SZQA · pith_short_8: CCG6F2YJ

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/CCG6F2YJSMH7SZQALW3BBHBCEQ \
  | 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: 108de2eb09930ff966005db6109c2224309ffe76e1ea8ea186e9ffaf6f65ef33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4b934d76105f55ef332ab67d6c409b81a7a129087892b4c54594478c4cadd8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-02T01:40:50Z",
    "title_canon_sha256": "c0349e00026fcb64520cf2b2229e796cf2b5dc3b84011d45d583d15e8015034e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00520",
    "kind": "arxiv",
    "version": 1
  }
}