Pith Number

pith:DWN45BIM

pith:2026:DWN45BIM6BVUYXDYJBOALLC2Q7

not attested not anchored not stored refs pending

Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$

Andrew Christensen, Kyle Pratt

arxiv:2607.01424 v1 · 2026-07-01 · 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{DWN45BIM6BVUYXDYJBOALLC2Q7}

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	2026-07-03T00:16:59.926161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9bce850cf06b4c5c78485c05ac5a87d9254914b99f60236c5c3d2ed5bd2c6f

Aliases

arxiv: 2607.01424 · arxiv_version: 2607.01424v1 · doi: 10.48550/arxiv.2607.01424 · pith_short_12: DWN45BIM6BVU · pith_short_16: DWN45BIM6BVUYXDY · pith_short_8: DWN45BIM

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/DWN45BIM6BVUYXDYJBOALLC2Q7 \
  | 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: 1d9bce850cf06b4c5c78485c05ac5a87d9254914b99f60236c5c3d2ed5bd2c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfaa0c2c85351fdb5788b6d1c9f1d908ec92f38b5c4c3e5f59c0472d4b96af0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T19:40:53Z",
    "title_canon_sha256": "024f25c0d0547b86f01bd26ce233c293dfc6e8a4887b614fbfeb923b46042fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01424",
    "kind": "arxiv",
    "version": 1
  }
}