Pith Number

pith:AH4RX645

pith:2017:AH4RX645YOTH5OGITS33FBWL5G

not attested not anchored not stored refs pending

Sidon sets and statistics of the ElGamal function

Ana Zumalac\'arregui, Joachim von zur Gathen, Lucas Boppr\'e Niehues, Lucas Pandolfo Perin

arxiv:1708.04395 v1 · 2017-08-15 · 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{AH4RX645YOTH5OGITS33FBWL5G}

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	2026-05-18T00:37:59.441803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f91bfb9dc3a67eb8c89cb7b286cbe9962bd308a0949a6f648ba8d8668ceb53

Aliases

arxiv: 1708.04395 · arxiv_version: 1708.04395v1 · doi: 10.48550/arxiv.1708.04395 · pith_short_12: AH4RX645YOTH · pith_short_16: AH4RX645YOTH5OGI · pith_short_8: AH4RX645

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/AH4RX645YOTH5OGITS33FBWL5G \
  | 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: 01f91bfb9dc3a67eb8c89cb7b286cbe9962bd308a0949a6f648ba8d8668ceb53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e1f1c21996008bedbf554b6d68e199f0200b9aec49420bf397c04d1a384dee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-15T05:04:18Z",
    "title_canon_sha256": "d721c3217b9f2015dd4d3d784ca5cfb41a0cb46530407230fd02392afcda6c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04395",
    "kind": "arxiv",
    "version": 1
  }
}