Pith Number

pith:7BP2KKE4

pith:2012:7BP2KKE4IRR53WKHLVF7JGVEKS

not attested not anchored not stored refs pending

On the Fourier transform of the greatest common divisor

Peter H. van der Kamp

arxiv:1201.3139 v1 · 2012-01-16 · 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{7BP2KKE4IRR53WKHLVF7JGVEKS}

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	2026-05-18T04:04:32.103170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85fa5289c4463ddd9475d4bf49aa454a711ecd26b30582be84f207c8fabfe62

Aliases

arxiv: 1201.3139 · arxiv_version: 1201.3139v1 · doi: 10.48550/arxiv.1201.3139 · pith_short_12: 7BP2KKE4IRR5 · pith_short_16: 7BP2KKE4IRR53WKH · pith_short_8: 7BP2KKE4

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/7BP2KKE4IRR53WKHLVF7JGVEKS \
  | 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: f85fa5289c4463ddd9475d4bf49aa454a711ecd26b30582be84f207c8fabfe62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc08cc1029941331c309494ace0ac274d6172becc50e224fc05476e7b4c5f59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-16T00:00:47Z",
    "title_canon_sha256": "d98f74d27693096f1c8a4ae7193fd0d7adffe3f46ba9caf7eb86fb831a3dad52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3139",
    "kind": "arxiv",
    "version": 1
  }
}