Pith Number

pith:5OSXIR6Q

pith:2013:5OSXIR6QO4VDQVFBGDX3C6LYSU

not attested not anchored not stored refs pending

Bounding $S(t)$ and $S_1(t)$ on the Riemann hypothesis

Emanuel Carneiro, Micah B. Milinovich, Vorrapan Chandee

arxiv:1309.1526 v1 · 2013-09-06 · 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{5OSXIR6QO4VDQVFBGDX3C6LYSU}

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	2026-05-18T03:13:59.227919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba57447d0772a3854a130efb179789538dbb015d9ff411b52d2d2da89fcbddf

Aliases

arxiv: 1309.1526 · arxiv_version: 1309.1526v1 · doi: 10.48550/arxiv.1309.1526 · pith_short_12: 5OSXIR6QO4VD · pith_short_16: 5OSXIR6QO4VDQVFB · pith_short_8: 5OSXIR6Q

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/5OSXIR6QO4VDQVFBGDX3C6LYSU \
  | 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: eba57447d0772a3854a130efb179789538dbb015d9ff411b52d2d2da89fcbddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba8221bec39b7d5324506a9ed082afe1a266960773cd3a8ea05b15f3bfe7a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-06T03:10:26Z",
    "title_canon_sha256": "7c04b6d7aa2c00a10a63d4843643ceb0ef5c3d88d62516eeb719c95f661f5cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1526",
    "kind": "arxiv",
    "version": 1
  }
}