Pith Number

pith:SVP7VPLZ

pith:2018:SVP7VPLZ3PLFU3CCTTFTBN6IPK

not attested not anchored not stored refs pending

A step beyond Freiman's theorem for set addition modulo a prime

Christoph Spiegel, Oriol Serra, Pablo Candela

arxiv:1805.12374 v1 · 2018-05-31 · math.CO · 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{SVP7VPLZ3PLFU3CCTTFTBN6IPK}

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	2026-05-18T00:14:30.430380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

955ffabd79dbd65a6c429ccb30b7c87a968d0ae59d7135fae1a1ffa48ece0f1d

Aliases

arxiv: 1805.12374 · arxiv_version: 1805.12374v1 · doi: 10.48550/arxiv.1805.12374 · pith_short_12: SVP7VPLZ3PLF · pith_short_16: SVP7VPLZ3PLFU3CC · pith_short_8: SVP7VPLZ

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/SVP7VPLZ3PLFU3CCTTFTBN6IPK \
  | 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: 955ffabd79dbd65a6c429ccb30b7c87a968d0ae59d7135fae1a1ffa48ece0f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d984315c4c25ee6051a5228f3d616ef4ef8b1adc191ab2735283a9d4bd1974",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-31T08:26:46Z",
    "title_canon_sha256": "07a0fc35a4d8bc17b990811e5cb777cb13e4318a9339a4049812d9406ebd7926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12374",
    "kind": "arxiv",
    "version": 1
  }
}