Pith Number

pith:QDLJQYHM

pith:2016:QDLJQYHMWPCZA2BSN46H7IIWMZ

not attested not anchored not stored refs pending

Conditional Square Functions, the Sine-Cosine Decomposition for Hardy Martingales and Dyadic Perturbation

Paul F.X. M\"uller

arxiv:1611.02653 v1 · 2016-11-08 · 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{QDLJQYHMWPCZA2BSN46H7IIWMZ}

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	2026-05-18T00:59:51.319094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d69860ecb3c59068326f3c7fa116665ce71eeb1ce5c921b809ce8fbe6f1b7f

Aliases

arxiv: 1611.02653 · arxiv_version: 1611.02653v1 · doi: 10.48550/arxiv.1611.02653 · pith_short_12: QDLJQYHMWPCZ · pith_short_16: QDLJQYHMWPCZA2BS · pith_short_8: QDLJQYHM

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/QDLJQYHMWPCZA2BSN46H7IIWMZ \
  | 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: 80d69860ecb3c59068326f3c7fa116665ce71eeb1ce5c921b809ce8fbe6f1b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02636b76110bbe8ca47e4010c16b945d213abf05858de7c4f53ffe595f1c6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-08T19:02:31Z",
    "title_canon_sha256": "beeae02a756152cd79999569f04a73af7f0b1f0742bb2ed5a4aa66ca74bda89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02653",
    "kind": "arxiv",
    "version": 1
  }
}