Pith Number

pith:4JXTWUPL

pith:2018:4JXTWUPLULE3VCCBFRWLDVNV77

not attested not anchored not stored refs pending

Power mean of the Hurwitz zeta function

A.C.L. Ashton

arxiv:1809.09435 v1 · 2018-09-25 · math.CV · 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{4JXTWUPLULE3VCCBFRWLDVNV77}

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	2026-05-18T00:04:53.349352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26f3b51eba2c9ba88412c6cb1d5b5ffcdb71296496f3da6310a5db03ffdf0cc

Aliases

arxiv: 1809.09435 · arxiv_version: 1809.09435v1 · doi: 10.48550/arxiv.1809.09435 · pith_short_12: 4JXTWUPLULE3 · pith_short_16: 4JXTWUPLULE3VCCB · pith_short_8: 4JXTWUPL

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/4JXTWUPLULE3VCCBFRWLDVNV77 \
  | 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: e26f3b51eba2c9ba88412c6cb1d5b5ffcdb71296496f3da6310a5db03ffdf0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3dc7b470c69bf0bf6c588fcf91bbfa0b5e87fb37da4adab820e86431ecb16f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-09-25T12:42:54Z",
    "title_canon_sha256": "1125e9e8958a1459982ab89d14ed2f7c339fc28632dfc8aca8e61bf2d0119275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09435",
    "kind": "arxiv",
    "version": 1
  }
}