Pith Number

pith:KTRBUTTA

pith:2019:KTRBUTTA4VNZFO3MB6QO5SASBQ

not attested not anchored not stored refs pending

On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

Kyunghwan Song, WonTae Hwang

arxiv:1904.03060 v1 · 2019-04-05 · 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{KTRBUTTA4VNZFO3MB6QO5SASBQ}

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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	2026-05-17T23:49:18.736209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e21a4e60e55b92bb6c0fa0eec8120c300bf8ef6823e8f1922e25f366601ba9

Aliases

arxiv: 1904.03060 · arxiv_version: 1904.03060v1 · doi: 10.48550/arxiv.1904.03060 · pith_short_12: KTRBUTTA4VNZ · pith_short_16: KTRBUTTA4VNZFO3M · pith_short_8: KTRBUTTA

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/KTRBUTTA4VNZFO3MB6QO5SASBQ \
  | 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: 54e21a4e60e55b92bb6c0fa0eec8120c300bf8ef6823e8f1922e25f366601ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e067cd2eb070cae50bebf466ebb61d7ea76a12ecde7a23c9d31e9d4b249c05a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-05T13:35:37Z",
    "title_canon_sha256": "60eb7dd0b1e22e9892de99a5e25fdf27bfaaa5728fc505ced7b8c5bd8915982f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03060",
    "kind": "arxiv",
    "version": 1
  }
}