Pith Number

pith:7DHB3DHM

pith:2014:7DHB3DHM556MALVRMBDREKHXA7

not attested not anchored not stored refs pending

An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann Zeta function

Michel Weber

arxiv:1407.2722 v2 · 2014-07-10 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DHB3DHM556MALVRMBDREKHXA7}

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	2026-05-18T00:39:58.730850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ce1d8cecef7cc02eb160471228f707cdb0fc4cdf2054a97a7023920c3ea83b

Aliases

arxiv: 1407.2722 · arxiv_version: 1407.2722v2 · doi: 10.48550/arxiv.1407.2722 · pith_short_12: 7DHB3DHM556M · pith_short_16: 7DHB3DHM556MALVR · pith_short_8: 7DHB3DHM

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/7DHB3DHM556MALVRMBDREKHXA7 \
  | 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: f8ce1d8cecef7cc02eb160471228f707cdb0fc4cdf2054a97a7023920c3ea83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be738390d12592e12299fd4d29bd4779c8d82e4ec0eab6ca0077e4648f955df1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-10T08:14:46Z",
    "title_canon_sha256": "b88dfddc04b6cefffe083984724c4c997c5b9ec98373a6e61abbd404899be493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2722",
    "kind": "arxiv",
    "version": 2
  }
}