Pith Number

pith:GNQWSVS3

pith:2026:GNQWSVS3BMUZHH2RM2ZKOQSAGE

not attested not anchored not stored refs pending

Siegel zeros and small gaps between zeros of the Riemann zeta function

Andriy Bondarenko, Winston Heap

arxiv:2608.07399 v1 · 2026-08-07 · 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{GNQWSVS3BMUZHH2RM2ZKOQSAGE}

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	2026-08-10T01:15:15.853413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336169565b0b29939f5166b2a7424031207fbc7b1e137523540b0007138eadd4

Aliases

arxiv: 2608.07399 · arxiv_version: 2608.07399v1 · doi: 10.48550/arxiv.2608.07399 · pith_short_12: GNQWSVS3BMUZ · pith_short_16: GNQWSVS3BMUZHH2R · pith_short_8: GNQWSVS3

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/GNQWSVS3BMUZHH2RM2ZKOQSAGE \
  | 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: 336169565b0b29939f5166b2a7424031207fbc7b1e137523540b0007138eadd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7608432ab0e393271d97e241a6cf8e4950c7b12721de4c30c05cfc1a6f5effc6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-07T16:42:11Z",
    "title_canon_sha256": "d735f149b947e13e541195cc3dacd580c6d5425e778a9023349844569be84237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07399",
    "kind": "arxiv",
    "version": 1
  }
}