Pith Number

pith:5KX3UTA6

pith:2019:5KX3UTA6BQEVH7HPIREARDTJF7

not attested not anchored not stored refs pending

Jensen Polynomials for the Riemann Xi Function

Ian Wagner, Jesse Thorner, Ken Ono, Larry Rolen, Michael Griffin, Zachary Tripp

arxiv:1910.01227 v3 · 2019-10-02 · 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{5KX3UTA6BQEVH7HPIREARDTJF7}

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	2026-07-05T04:15:06.307595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaafba4c1e0c0953fcef4448088e692fcb4beeb5beb04456152f95703fa07118

Aliases

arxiv: 1910.01227 · arxiv_version: 1910.01227v3 · doi: 10.48550/arxiv.1910.01227 · pith_short_12: 5KX3UTA6BQEV · pith_short_16: 5KX3UTA6BQEVH7HP · pith_short_8: 5KX3UTA6

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/5KX3UTA6BQEVH7HPIREARDTJF7 \
  | 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: eaafba4c1e0c0953fcef4448088e692fcb4beeb5beb04456152f95703fa07118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd45ea2fea59ec652faea556319aea680b895da5f3a0276f035d18207e85944",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-10-02T21:25:04Z",
    "title_canon_sha256": "678b6be07d578231d1071206f894029d0c193bcffd8640e32ffa51fe41f03478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01227",
    "kind": "arxiv",
    "version": 3
  }
}