Pith Number

pith:XPD5NW7E

pith:2003:XPD5NW7ELWDD3EINQ5WUOBKYQX

not attested not anchored not stored refs pending

On certain sums over ordinates of zeta zeros

Aleksandar Ivi\'c

arxiv:math/0312303 v1 · 2003-12-16 · 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{XPD5NW7ELWDD3EINQ5WUOBKYQX}

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	2026-07-04T14:38:05.851005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc7d6dbe45d863d910d876d47055885e63251fff66747779af1e8e02f54760c

Aliases

arxiv: math/0312303 · arxiv_version: math/0312303v1 · doi: 10.48550/arxiv.math/0312303 · pith_short_12: XPD5NW7ELWDD · pith_short_16: XPD5NW7ELWDD3EIN · pith_short_8: XPD5NW7E

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/XPD5NW7ELWDD3EINQ5WUOBKYQX \
  | 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: bbc7d6dbe45d863d910d876d47055885e63251fff66747779af1e8e02f54760c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e3e41bc37d3003bab8a275d975173a60b80f69543d6c8619b57e14f567dfdba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-12-16T07:44:37Z",
    "title_canon_sha256": "7db352a0cc6789c96b563c4c91e92acfad3a56445515ea6480f8ec1756dc948b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312303",
    "kind": "arxiv",
    "version": 1
  }
}