Pith Number

pith:GKD4HDXX

pith:2017:GKD4HDXXCJBQSCM4VLUJUCU4B5

not attested not anchored not stored refs pending

On sets with small sumset in the circle

Anne de Roton, Pablo Candela

arxiv:1709.04501 v2 · 2017-09-13 · 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{GKD4HDXXCJBQSCM4VLUJUCU4B5}

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	2026-05-18T00:11:11.523808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3287c38ef7124309099caae89a0a9c0f6b3d6d50c2f4026a6b2864da1950e260

Aliases

arxiv: 1709.04501 · arxiv_version: 1709.04501v2 · doi: 10.48550/arxiv.1709.04501 · pith_short_12: GKD4HDXXCJBQ · pith_short_16: GKD4HDXXCJBQSCM4 · pith_short_8: GKD4HDXX

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/GKD4HDXXCJBQSCM4VLUJUCU4B5 \
  | 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: 3287c38ef7124309099caae89a0a9c0f6b3d6d50c2f4026a6b2864da1950e260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce13c49e006064b7436bca5a6836b1a394baf43fd3d0f8d5fc89d1c4da99817b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-13T18:46:45Z",
    "title_canon_sha256": "91e67729f4d9fb7f52b065bd21caaf5a73e6ce3d238bc47845a06e2d3f946ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04501",
    "kind": "arxiv",
    "version": 2
  }
}