Pith Number

pith:HPKHR4HO

pith:2005:HPKHR4HOE63BCWZCWFRLH77OAE

not attested not anchored not stored refs pending

Multiple positivity and the Riemann zeta-function

Olga M. Katkova

arxiv:math/0505174 v1 · 2005-05-10 · 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{HPKHR4HOE63BCWZCWFRLH77OAE}

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	2026-07-04T14:39:57.858798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd478f0ee27b6115b22b162b3ffee012dadfc364d4bf757ba4301b5ec901124

Aliases

arxiv: math/0505174 · arxiv_version: math/0505174v1 · doi: 10.48550/arxiv.math/0505174 · pith_short_12: HPKHR4HOE63B · pith_short_16: HPKHR4HOE63BCWZC · pith_short_8: HPKHR4HO

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/HPKHR4HOE63BCWZCWFRLH77OAE \
  | 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: 3bd478f0ee27b6115b22b162b3ffee012dadfc364d4bf757ba4301b5ec901124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89d29c5d94d78ffeca777e45198fd18457a8dd1eba92be8e92110cddfb18545",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-05-10T11:14:32Z",
    "title_canon_sha256": "4a2d931df6996c255cb0bf2087d399052452708cf0fa7f19cb9b339611174f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505174",
    "kind": "arxiv",
    "version": 1
  }
}