Pith Number

pith:K2T7IPGX

pith:2013:K2T7IPGX2WCBBK2R3HEJCRRXV6

not attested not anchored not stored refs pending

On the Probability of Relative Primality in the Gaussian Integers

Bianca De Sanctis, Samuel Reid

arxiv:1305.5502 v1 · 2013-05-23 · 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{K2T7IPGX2WCBBK2R3HEJCRRXV6}

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	2026-05-18T03:25:04.627586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a7f43cd7d58410ab51d9c8914637afadfcd22a49d32d24b5644fb6587187c1

Aliases

arxiv: 1305.5502 · arxiv_version: 1305.5502v1 · doi: 10.48550/arxiv.1305.5502 · pith_short_12: K2T7IPGX2WCB · pith_short_16: K2T7IPGX2WCBBK2R · pith_short_8: K2T7IPGX

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/K2T7IPGX2WCBBK2R3HEJCRRXV6 \
  | 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: 56a7f43cd7d58410ab51d9c8914637afadfcd22a49d32d24b5644fb6587187c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8722516fae3543f4b58f2e5f64a24d90c9fc8e298d150960588dcd18844be06a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-23T17:58:33Z",
    "title_canon_sha256": "26513b77beddb7a791d8ff67dc7716549a283b9256cf17b13245cb528dda005e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5502",
    "kind": "arxiv",
    "version": 1
  }
}