Pith Number

pith:6NGOYXSU

pith:2017:6NGOYXSUPVQTMKCM2ORLECE7DA

not attested not anchored not stored refs pending

Approximate functional equations for the Hurwitz and Lerch zeta-functions

Takashi Miyagawa

arxiv:1704.01850 v1 · 2017-04-06 · 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{6NGOYXSUPVQTMKCM2ORLECE7DA}

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	2026-05-18T00:46:54.173736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34cec5e547d6136284cd3a2b2089f181c64f7a21a8c6fade6d12339371c07e0

Aliases

arxiv: 1704.01850 · arxiv_version: 1704.01850v1 · doi: 10.48550/arxiv.1704.01850 · pith_short_12: 6NGOYXSUPVQT · pith_short_16: 6NGOYXSUPVQTMKCM · pith_short_8: 6NGOYXSU

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/6NGOYXSUPVQTMKCM2ORLECE7DA \
  | 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: f34cec5e547d6136284cd3a2b2089f181c64f7a21a8c6fade6d12339371c07e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c905f6b1bd8141c7b7d7f731484094eb30943dddbfd40ac4920e92dbb833e971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-06T14:01:54Z",
    "title_canon_sha256": "975424a1f6c94effc89092289a8baeee62e0559e0008e8d37d75ad647c128d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01850",
    "kind": "arxiv",
    "version": 1
  }
}