Pith Number

pith:FBOUXK2N

pith:2009:FBOUXK2NLSQGKOOIO6GTRVL6YV

not attested not anchored not stored refs pending

Gaps between zeros of the derivative of the Riemann \xi-function

H. M. Bui

arxiv:0903.4006 v1 · 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{FBOUXK2NLSQGKOOIO6GTRVL6YV}

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	2026-05-18T03:41:32.584359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285d4bab4d5ca06539c8778d38d57ec5573c9066b764cfe585f5b300863f3a75

Aliases

arxiv: 0903.4006 · arxiv_version: 0903.4006v1 · doi: 10.48550/arxiv.0903.4006 · pith_short_12: FBOUXK2NLSQG · pith_short_16: FBOUXK2NLSQGKOOI · pith_short_8: FBOUXK2N

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/FBOUXK2NLSQGKOOIO6GTRVL6YV \
  | 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: 285d4bab4d5ca06539c8778d38d57ec5573c9066b764cfe585f5b300863f3a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6c79c63dd469eb8470738423625dbc698d48c54b4837d72f6ba46fea4ec4cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-24T03:32:57Z",
    "title_canon_sha256": "6cb81c3bea08d00c360881ab3d592061c73983ecc137e070344fff945dba8f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4006",
    "kind": "arxiv",
    "version": 1
  }
}