Pith Number

pith:CEJXHPDB

pith:2013:CEJXHPDBSHJ4ZMKMEIQ6W4OFHG

not attested not anchored not stored refs pending

On additive complement of a finite set

Csaba S\'andor, Eszter Rozgonyi, S\'andor Z. Kiss

arxiv:1304.6838 v1 · 2013-04-25 · 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{CEJXHPDBSHJ4ZMKMEIQ6W4OFHG}

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	2026-05-18T03:27:10.982918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111373bc6191d3ccb14c2221eb71c539b97a874e81ef667a31f0ba3d21bfeabe

Aliases

arxiv: 1304.6838 · arxiv_version: 1304.6838v1 · doi: 10.48550/arxiv.1304.6838 · pith_short_12: CEJXHPDBSHJ4 · pith_short_16: CEJXHPDBSHJ4ZMKM · pith_short_8: CEJXHPDB

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/CEJXHPDBSHJ4ZMKMEIQ6W4OFHG \
  | 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: 111373bc6191d3ccb14c2221eb71c539b97a874e81ef667a31f0ba3d21bfeabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc20098c1e273c41db1fb316eb35ace43ee8efa2e1181792e3bcaff802f518b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-25T09:12:30Z",
    "title_canon_sha256": "404ac7e4181e92c46780981009348f85381b22b9d204096410208cead2f943eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6838",
    "kind": "arxiv",
    "version": 1
  }
}