Pith Number

pith:RWGN2TG3

pith:2013:RWGN2TG3S4AZJDOILGCXPJK3YW

not attested not anchored not stored refs pending

Sets of integers with no large sum-free subset

Ben Green, Freddie Manners, Sean Eberhard

arxiv:1301.4579 v2 · 2013-01-19 · 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{RWGN2TG3S4AZJDOILGCXPJK3YW}

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	2026-05-18T02:38:26.755134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8cdd4cdb9701948dc8598577a55bc5afef79de521496823457407841e0204e

Aliases

arxiv: 1301.4579 · arxiv_version: 1301.4579v2 · doi: 10.48550/arxiv.1301.4579 · pith_short_12: RWGN2TG3S4AZ · pith_short_16: RWGN2TG3S4AZJDOI · pith_short_8: RWGN2TG3

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/RWGN2TG3S4AZJDOILGCXPJK3YW \
  | 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: 8d8cdd4cdb9701948dc8598577a55bc5afef79de521496823457407841e0204e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfcf10a9f96fa6acb52082b241a3bca889735e589604c153fc30d04c47c7f265",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-19T17:22:19Z",
    "title_canon_sha256": "97f2cccb81c6de8f89b17ce9bfa761d08131c403c8f480b24d9e3d573bcda021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4579",
    "kind": "arxiv",
    "version": 2
  }
}