Pith Number

pith:PCWCUX5S

pith:2014:PCWCUX5SRX6UWG72ITKY7RB4PC

not attested not anchored not stored refs pending

Upper Bound for Multi-parameter Iterated Commutators

Laurent Dalenc, Yumeng Ou

arxiv:1401.5994 v3 · 2014-01-23 · 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{PCWCUX5SRX6UWG72ITKY7RB4PC}

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	2026-05-18T02:16:51.377304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ac2a5fb28dfd4b1bfa44d58fc43c788e768a78f481d85c2bde0ef102c15146

Aliases

arxiv: 1401.5994 · arxiv_version: 1401.5994v3 · doi: 10.48550/arxiv.1401.5994 · pith_short_12: PCWCUX5SRX6U · pith_short_16: PCWCUX5SRX6UWG72 · pith_short_8: PCWCUX5S

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/PCWCUX5SRX6UWG72ITKY7RB4PC \
  | 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: 78ac2a5fb28dfd4b1bfa44d58fc43c788e768a78f481d85c2bde0ef102c15146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837e3500b08cd3874e61c096375250c1b02ca4b9727393b33f8f3dc6fc5511f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-23T15:07:32Z",
    "title_canon_sha256": "da5d230651614876939aa03a29a7118377a9efd959ec6655b3cc4f5971f68e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5994",
    "kind": "arxiv",
    "version": 3
  }
}