Pith Number

pith:4Z52SSK4

pith:2016:4Z52SSK4Q3ZQJKMW6IKPOM5EJI

not attested not anchored not stored refs pending

The Ubiquity of Sidon Sets That Are Not $I_0$

Kathryn E. Hare, L. Thomas Ramsey

arxiv:1602.04241 v1 · 2016-01-26 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z52SSK4Q3ZQJKMW6IKPOM5EJI}

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	2026-05-18T01:20:51.475349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67ba9495c86f304a996f214f733a44a28bf05f60b60df7cf4635810b980c85b

Aliases

arxiv: 1602.04241 · arxiv_version: 1602.04241v1 · doi: 10.48550/arxiv.1602.04241 · pith_short_12: 4Z52SSK4Q3ZQ · pith_short_16: 4Z52SSK4Q3ZQJKMW · pith_short_8: 4Z52SSK4

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/4Z52SSK4Q3ZQJKMW6IKPOM5EJI \
  | 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: e67ba9495c86f304a996f214f733a44a28bf05f60b60df7cf4635810b980c85b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d93f9db70a2fe766804e641292a6dfd38aab6da2d596cb2b837a1a1bd1ab85",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-26T16:54:51Z",
    "title_canon_sha256": "88bc5be9006921233714c4a660d69ec4b45632af0c449401cf00a703b05785bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04241",
    "kind": "arxiv",
    "version": 1
  }
}