Pith Number

pith:JHOV55ES

pith:2016:JHOV55ESS6Z3LCRR4K4SO33NRR

not attested not anchored not stored refs pending

Some results on the $\xi(s)$ and $\Xi(t)$ functions associated with Riemann's $\zeta(s)$ function

Hisashi Kobayashi

arxiv:1603.02954 v1 · 2016-03-05 · 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{JHOV55ESS6Z3LCRR4K4SO33NRR}

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	2026-05-18T01:19:19.470367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49dd5ef49297b3b58a31e2b9276f6d8c4b78eac816ce9128613e329ca35595b2

Aliases

arxiv: 1603.02954 · arxiv_version: 1603.02954v1 · doi: 10.48550/arxiv.1603.02954 · pith_short_12: JHOV55ESS6Z3 · pith_short_16: JHOV55ESS6Z3LCRR · pith_short_8: JHOV55ES

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/JHOV55ESS6Z3LCRR4K4SO33NRR \
  | 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: 49dd5ef49297b3b58a31e2b9276f6d8c4b78eac816ce9128613e329ca35595b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1daa353fd75fbdc7d83537d9537090925cbb9903dc3813163a43a50ceade1231",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-05T00:29:52Z",
    "title_canon_sha256": "23731a6093db39c92cd595417ef6d0a7e918936c3840364001690994fc4bfb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02954",
    "kind": "arxiv",
    "version": 1
  }
}