Pith Number

pith:64WUI6HK

pith:2009:64WUI6HKL7R2MXOY2BXULNGCXO

not attested not anchored not stored refs pending

Large gaps between consecutive zeros of the Riemann zeta-function

H. M. Bui

arxiv:0903.4007 v3 · 2009-03-24 · 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{64WUI6HKL7R2MXOY2BXULNGCXO}

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	2026-05-18T03:41:32.575373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72d4478ea5fe3a65dd8d06f45b4c2bb9bb5a6ca03e9f35b153745257b2c05b9

Aliases

arxiv: 0903.4007 · arxiv_version: 0903.4007v3 · doi: 10.48550/arxiv.0903.4007 · pith_short_12: 64WUI6HKL7R2 · pith_short_16: 64WUI6HKL7R2MXOY · pith_short_8: 64WUI6HK

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/64WUI6HKL7R2MXOY2BXULNGCXO \
  | 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: f72d4478ea5fe3a65dd8d06f45b4c2bb9bb5a6ca03e9f35b153745257b2c05b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9238becf23caea48d32ad3911877310edf9d8587d5fa576a8f2f1befde08593b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-24T03:35:32Z",
    "title_canon_sha256": "866af0616204a18705159be6e86c3c784aa404990cf2b79023aeabaeb5008465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4007",
    "kind": "arxiv",
    "version": 3
  }
}