Pith Number

pith:RQPTZTX2

pith:2013:RQPTZTX2IKEB72SHLN5XUXRE42

not attested not anchored not stored refs pending

Fefferman-Stein decomposition for $Q$-spaces and micro-local quantities

Pengtao Li, Qixiang Yang, Tao Qian

arxiv:1309.2029 v2 · 2013-09-09 · 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{RQPTZTX2IKEB72SHLN5XUXRE42}

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	2026-05-18T01:23:04.600507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c1f3ccefa42881fea475b7b7a5e24e69e5df7922179e7729140d410ee197599

Aliases

arxiv: 1309.2029 · arxiv_version: 1309.2029v2 · doi: 10.48550/arxiv.1309.2029 · pith_short_12: RQPTZTX2IKEB · pith_short_16: RQPTZTX2IKEB72SH · pith_short_8: RQPTZTX2

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/RQPTZTX2IKEB72SHLN5XUXRE42 \
  | 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: 8c1f3ccefa42881fea475b7b7a5e24e69e5df7922179e7729140d410ee197599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c5ab5fb29437e9f30f3361a61bea1590b58f82d67ee2a53f2739f1825f1b41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-09T02:03:35Z",
    "title_canon_sha256": "835231355c10ddef705fe867ecfa650cee83e37e404b59ba307289fbe75f5fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2029",
    "kind": "arxiv",
    "version": 2
  }
}