Pith Number

pith:ROH5HX6H

pith:2014:ROH5HX6HT32LYE7MQ6G5DKMBGI

not attested not anchored not stored refs pending

F{\o}lner sequences and sum-free sets

Sean Eberhard

arxiv:1401.6390 v1 · 2014-01-24 · 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{ROH5HX6HT32LYE7MQ6G5DKMBGI}

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	2026-05-18T02:31:11.987197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b8fd3dfc79ef4bc13ec878dd1a981321be4668233540c229383f6468a718b3f

Aliases

arxiv: 1401.6390 · arxiv_version: 1401.6390v1 · doi: 10.48550/arxiv.1401.6390 · pith_short_12: ROH5HX6HT32L · pith_short_16: ROH5HX6HT32LYE7M · pith_short_8: ROH5HX6H

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/ROH5HX6HT32LYE7MQ6G5DKMBGI \
  | 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: 8b8fd3dfc79ef4bc13ec878dd1a981321be4668233540c229383f6468a718b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1c33bed4536e78b75570eccfc91eccf41d0766264567b0ba173bc354036040",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-24T16:18:44Z",
    "title_canon_sha256": "2e7de7e97ff9865523394f3250aca30897a18c6872b36781c060cac55d2b52fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6390",
    "kind": "arxiv",
    "version": 1
  }
}