Pith Number

pith:A3TEQCOB

pith:2013:A3TEQCOB63OZIT2LM3LOVRWE7S

not attested not anchored not stored refs pending

The density of primes in orbits of z^d + c

Kalyani Madhu, Rafe Jones, Spencer Hamblen

arxiv:1303.6513 v1 · 2013-03-26 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3TEQCOB63OZIT2LM3LOVRWE7S}

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	2026-05-18T01:35:16.874598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e64809c1f6dd944f4b66d6eac6c4fcbff34ee2b27c3f8c7bd06f29ccd72e27

Aliases

arxiv: 1303.6513 · arxiv_version: 1303.6513v1 · doi: 10.48550/arxiv.1303.6513 · pith_short_12: A3TEQCOB63OZ · pith_short_16: A3TEQCOB63OZIT2L · pith_short_8: A3TEQCOB

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/A3TEQCOB63OZIT2LM3LOVRWE7S \
  | 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: 06e64809c1f6dd944f4b66d6eac6c4fcbff34ee2b27c3f8c7bd06f29ccd72e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781286ea830ce28850e75a6eeeb83190e7d3744fb87c7515c54f9914adbab564",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-26T14:46:01Z",
    "title_canon_sha256": "a8fa083a6675928761cd32d57f4469e617a5697666559b413615aa4f8f7ec35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6513",
    "kind": "arxiv",
    "version": 1
  }
}