Pith Number

pith:PP2THF45

pith:2026:PP2THF45ZQE7PDH3PVKX6LAJBL

not attested not anchored not stored refs pending

Sumsets of random sets

Lander Verlinde, Rajko Nenadov

arxiv:2605.29680 v1 · 2026-05-28 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP2THF45ZQE7PDH3PVKX6LAJBL}

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	2026-05-29T01:05:55.224298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf533979dcc09f78cfb7d557f2c090ae952f0615954ed858f42bd3d15ff864b

Aliases

arxiv: 2605.29680 · arxiv_version: 2605.29680v1 · doi: 10.48550/arxiv.2605.29680 · pith_short_12: PP2THF45ZQE7 · pith_short_16: PP2THF45ZQE7PDH3 · pith_short_8: PP2THF45

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/PP2THF45ZQE7PDH3PVKX6LAJBL \
  | 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: 7bf533979dcc09f78cfb7d557f2c090ae952f0615954ed858f42bd3d15ff864b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fc4e062cf67037e7470004ef131effaaa1007e35391f3fe8b671b4da574f9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-28T09:41:52Z",
    "title_canon_sha256": "08ad18ee00c3f6f66a9e225f39e2cc7f0b2af470ea3b56cde41c64ed1b7fc2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29680",
    "kind": "arxiv",
    "version": 1
  }
}