pith. sign in
Pith Number

pith:SSSX23AE

pith:2013:SSSX23AEVEUZIPCEFDH5VLKPDD
not attested not anchored not stored refs pending

Additive spectra of the 1/4 Cantor measure

Karen L. Shuman, Keri A. Kornelson, Palle E. T. Jorgensen

arxiv:1310.7242 v1 · 2013-10-27 · math.SP · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SSSX23AEVEUZIPCEFDH5VLKPDD}

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 2026-05-18T03:08:45.868765Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

94a57d6c04a929943c4428cfdaad4f18e16bba712c4203e651109869de022f72

Aliases

arxiv: 1310.7242 · arxiv_version: 1310.7242v1 · doi: 10.48550/arxiv.1310.7242 · pith_short_12: SSSX23AEVEUZ · pith_short_16: SSSX23AEVEUZIPCE · pith_short_8: SSSX23AE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SSSX23AEVEUZIPCEFDH5VLKPDD \
  | 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: 94a57d6c04a929943c4428cfdaad4f18e16bba712c4203e651109869de022f72
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1d7b947a9bce6b20146c89e65903b349a56a027f2dcb9b9836f586083846adcc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-10-27T20:06:01Z",
    "title_canon_sha256": "eb4bd1be5c556c00e93c12ece1ef604a1c77eca07aab8a25d98152257fabb2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7242",
    "kind": "arxiv",
    "version": 1
  }
}