Pith Number

pith:BIIZNC2L

pith:2025:BIIZNC2LK6WTG3W52MKTP4RFOJ

not attested not anchored not stored refs pending

Sums and differences of sets: a further improvement over AlphaEvolve

Fan Zheng

arxiv:2506.01896 v1 · 2025-06-02 · 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{BIIZNC2LK6WTG3W52MKTP4RFOJ}

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	2026-07-05T11:14:20.953447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a11968b4b57ad336eddd31537f2257261b0123316acdb84483d7f040105f2b8

Aliases

arxiv: 2506.01896 · arxiv_version: 2506.01896v1 · doi: 10.48550/arxiv.2506.01896 · pith_short_12: BIIZNC2LK6WT · pith_short_16: BIIZNC2LK6WTG3W5 · pith_short_8: BIIZNC2L

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/BIIZNC2LK6WTG3W52MKTP4RFOJ \
  | 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: 0a11968b4b57ad336eddd31537f2257261b0123316acdb84483d7f040105f2b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b2444e52bc947532f3f38c53220753ae99eb69eb1e3fb8bc4b9dc88f5a9a29",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-02T17:20:25Z",
    "title_canon_sha256": "64189ff2bbbbe74c54cac2cc6177b7864222568e07c90739fd4b28120265a3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01896",
    "kind": "arxiv",
    "version": 1
  }
}