Pith Number

pith:KHHMEAAW

pith:2013:KHHMEAAW4DXQQARIQK7Q53DNNV

not attested not anchored not stored refs pending

Rigorous high-precision computation of the Hurwitz zeta function and its derivatives

Fredrik Johansson

arxiv:1309.2877 v1 · 2013-09-11 · cs.SC · 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{KHHMEAAW4DXQQARIQK7Q53DNNV}

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.

Cited by

1 paper in Pith

Fast Ramanujan--type Series for Logarithms. Part II

Receipt and verification

First computed	2026-05-18T03:13:34.640745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cec20016e0ef08022882bf0eec6d6d5a672a38100202bdbe32b0a35f0bb9b6

Aliases

arxiv: 1309.2877 · arxiv_version: 1309.2877v1 · doi: 10.48550/arxiv.1309.2877 · pith_short_12: KHHMEAAW4DXQ · pith_short_16: KHHMEAAW4DXQQARI · pith_short_8: KHHMEAAW

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/KHHMEAAW4DXQQARIQK7Q53DNNV \
  | 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: 51cec20016e0ef08022882bf0eec6d6d5a672a38100202bdbe32b0a35f0bb9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1604c8179006de710c59379af1baae92fe595b0b345e9f1089398ca16d9815f6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-09-11T16:22:35Z",
    "title_canon_sha256": "644d8f36dccf20d66d32f4771154b8fe2a7a422bee3f85f53b424fdf2b5b202a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2877",
    "kind": "arxiv",
    "version": 1
  }
}