Pith Number

pith:DEGPLZYS

pith:2026:DEGPLZYS3MPY7ASVYQ6S2LHUD7

not attested not anchored not stored refs pending

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five

Wojciech Michalowski

arxiv:2602.20313 v2 · 2026-02-23 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEGPLZYS3MPY7ASVYQ6S2LHUD7}

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	2026-07-21T01:21:43.076902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190cf5e712db1f8f8255c43d2d2cf41ff0e89472acfc52e5233974609868558e

Aliases

arxiv: 2602.20313 · arxiv_version: 2602.20313v2 · doi: 10.48550/arxiv.2602.20313 · pith_short_12: DEGPLZYS3MPY · pith_short_16: DEGPLZYS3MPY7ASV · pith_short_8: DEGPLZYS

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/DEGPLZYS3MPY7ASVYQ6S2LHUD7 \
  | 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: 190cf5e712db1f8f8255c43d2d2cf41ff0e89472acfc52e5233974609868558e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319637415242fc29b5915e5db1ddcc30b06725714306ab06ffbb2209fc9847be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-02-23T19:59:05Z",
    "title_canon_sha256": "757c9233e75f04d81f2e2e0a071abd61aa17986d6887868c25a5ee017593c833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.20313",
    "kind": "arxiv",
    "version": 2
  }
}