Pith Number

pith:I4DEI3O5

pith:2014:I4DEI3O5Q4J6KDYP6WG3GXUVPN

not attested not anchored not stored refs pending

Characterizations of BMO through commutators of bilinear singular integral operators

Lucas Chaffee

arxiv:1410.4587 v3 · 2014-10-16 · 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{I4DEI3O5Q4J6KDYP6WG3GXUVPN}

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	2026-05-18T02:31:37.748799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4706446ddd8713e50f0ff58db35e957b42dc6cc040ceec06d5e3794cf4c59c26

Aliases

arxiv: 1410.4587 · arxiv_version: 1410.4587v3 · doi: 10.48550/arxiv.1410.4587 · pith_short_12: I4DEI3O5Q4J6 · pith_short_16: I4DEI3O5Q4J6KDYP · pith_short_8: I4DEI3O5

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/I4DEI3O5Q4J6KDYP6WG3GXUVPN \
  | 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: 4706446ddd8713e50f0ff58db35e957b42dc6cc040ceec06d5e3794cf4c59c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8931a6f933e40f25a407163fab43a9c6b87e21ae65af9955d855038e575f97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-16T20:47:42Z",
    "title_canon_sha256": "55309271e227bb7bba176f466c2cf5935b82a95f92b3267ab7771a8a25769fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4587",
    "kind": "arxiv",
    "version": 3
  }
}