Pith Number

pith:FJ7OLV34

pith:2024:FJ7OLV34IQMXZRKC5WKOQMN2HF

not attested not anchored not stored refs pending

Character Sums and the Riemann Hypothesis

Brian Conrey

arxiv:2404.19647 v1 · 2024-04-30 · 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{FJ7OLV34IQMXZRKC5WKOQMN2HF}

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	2026-07-05T08:13:55.071481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7ee5d77c44197cc542ed94e831ba397f8cded9388c551ae15181a18b6bbe84

Aliases

arxiv: 2404.19647 · arxiv_version: 2404.19647v1 · doi: 10.48550/arxiv.2404.19647 · pith_short_12: FJ7OLV34IQMX · pith_short_16: FJ7OLV34IQMXZRKC · pith_short_8: FJ7OLV34

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/FJ7OLV34IQMXZRKC5WKOQMN2HF \
  | 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: 2a7ee5d77c44197cc542ed94e831ba397f8cded9388c551ae15181a18b6bbe84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d403dc2b408b0aea7f86c4d86d1d3ea1bb8af8e9601eb3d2124619fd64e4ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-30T15:46:19Z",
    "title_canon_sha256": "0791e7f11edeec9088ff2bb19d941abd1a380ff14fa9dcd19b281f4a3cbe2c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.19647",
    "kind": "arxiv",
    "version": 1
  }
}