Pith Number

pith:S65JMEIZ

pith:2016:S65JMEIZML6BW2WI5P6CSCO7QY

not attested not anchored not stored refs pending

A short and simple proof of the Jurkat--Waterman theorem on conjugate functions

V. V. Lebedev

arxiv:1603.04539 v1 · 2016-03-15 · 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{S65JMEIZML6BW2WI5P6CSCO7QY}

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	2026-05-18T00:41:18.422425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ba96111962fc1b6ac8ebfc2909df8627c46887444d36908026c7a972b54451

Aliases

arxiv: 1603.04539 · arxiv_version: 1603.04539v1 · doi: 10.48550/arxiv.1603.04539 · pith_short_12: S65JMEIZML6B · pith_short_16: S65JMEIZML6BW2WI · pith_short_8: S65JMEIZ

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/S65JMEIZML6BW2WI5P6CSCO7QY \
  | 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: 97ba96111962fc1b6ac8ebfc2909df8627c46887444d36908026c7a972b54451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c5663671ae63e947ee8d9e4952af071e50a647195c99e118a799f46843721c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-15T03:21:53Z",
    "title_canon_sha256": "bbc437d99af74558ec857ca7a687a8efbf441759c8542a0991b20f4e8fcc780d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04539",
    "kind": "arxiv",
    "version": 1
  }
}