Pith Number

pith:XHVBKZF4

pith:2013:XHVBKZF43LFNBGOG3G47W5RLAY

not attested not anchored not stored refs pending

The hybrid spectral test

Peter Hellekalek

arxiv:1306.3120 v1 · 2013-06-13 · 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{XHVBKZF43LFNBGOG3G47W5RLAY}

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	2026-05-18T03:20:59.541951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ea1564bcdacad099c6d9b9fb762b0619e74ca320b351dc02126ade7d6a7360

Aliases

arxiv: 1306.3120 · arxiv_version: 1306.3120v1 · doi: 10.48550/arxiv.1306.3120 · pith_short_12: XHVBKZF43LFN · pith_short_16: XHVBKZF43LFNBGOG · pith_short_8: XHVBKZF4

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/XHVBKZF43LFNBGOG3G47W5RLAY \
  | 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: b9ea1564bcdacad099c6d9b9fb762b0619e74ca320b351dc02126ade7d6a7360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13506c094bf8670e9cd25a8c05ffa4506391a8c32ea1b3817cf06bd3c6b5a23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-13T14:27:53Z",
    "title_canon_sha256": "b18a28b9ecb8af6eac55946d68c315a4ddbae555fb2025655a04c85af322b2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3120",
    "kind": "arxiv",
    "version": 1
  }
}