Pith Number

pith:DWPKLQFR

pith:2017:DWPKLQFRUX6JCIBIOFQI6VVXID

not attested not anchored not stored refs pending

On N\"orlund summation and Ergodic Theory, with applications to power series of Hilbert contractions

Christophe Cuny, Michel Weber

arxiv:1707.00104 v1 · 2017-07-01 · 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{DWPKLQFRUX6JCIBIOFQI6VVXID}

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	2026-05-18T00:41:06.465144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9ea5c0b1a5fc91202871608f56b740d224f30964e1c836bf9fafc6759c535c

Aliases

arxiv: 1707.00104 · arxiv_version: 1707.00104v1 · doi: 10.48550/arxiv.1707.00104 · pith_short_12: DWPKLQFRUX6J · pith_short_16: DWPKLQFRUX6JCIBI · pith_short_8: DWPKLQFR

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/DWPKLQFRUX6JCIBIOFQI6VVXID \
  | 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: 1d9ea5c0b1a5fc91202871608f56b740d224f30964e1c836bf9fafc6759c535c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3173a8ae5706bc5a1883cb5082aa53273d9b6ec7d6333b72e99eb4cca50d1dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-01T07:07:31Z",
    "title_canon_sha256": "85d1cba9a5490c3389bffda5bbcae68f7a88c2cf692d3b54805714071c1ab7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00104",
    "kind": "arxiv",
    "version": 1
  }
}