Pith Number

pith:XIS5B3TM

pith:2015:XIS5B3TMZSHB3QAQ3C5WKBYRVV

not attested not anchored not stored refs pending

Higher order Journe commutators and characterizations of multi-parameter BMO

Elizabeth Strouse, Stefanie Petermichl, Yumeng Ou

arxiv:1501.05761 v2 · 2015-01-23 · 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{XIS5B3TMZSHB3QAQ3C5WKBYRVV}

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	2026-05-18T01:36:58.127488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba25d0ee6ccc8e1dc010d8bb650711ad49a9633e34b7f7397eeb1b2ce5d8d5f7

Aliases

arxiv: 1501.05761 · arxiv_version: 1501.05761v2 · doi: 10.48550/arxiv.1501.05761 · pith_short_12: XIS5B3TMZSHB · pith_short_16: XIS5B3TMZSHB3QAQ · pith_short_8: XIS5B3TM

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/XIS5B3TMZSHB3QAQ3C5WKBYRVV \
  | 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: ba25d0ee6ccc8e1dc010d8bb650711ad49a9633e34b7f7397eeb1b2ce5d8d5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c511acd1520dfc012210d3c6a826e18763e276f845bbe77339480d82b881e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-23T10:21:14Z",
    "title_canon_sha256": "8fcfc4c8098c72f93a30eddaf9ec1b6153deed670462ad932c1833cc0a5e9c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05761",
    "kind": "arxiv",
    "version": 2
  }
}