Pith Number

pith:CYBJRMRV

pith:2025:CYBJRMRV2CEPNPN7HD6PVXOSHJ

not attested not anchored not stored refs pending

The Interplay between Additive and Multiplicative Central Sets Theorems

Chunlin Liu, Pintu Debnath, Sayan Goswami

arxiv:2506.00369 v1 · 2025-05-31 · 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{CYBJRMRV2CEPNPN7HD6PVXOSHJ}

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	2026-07-05T11:13:33.293921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

160298b235d088f6bdbf38fcfaddd23a62f8733e00139994172c619023a7bc87

Aliases

arxiv: 2506.00369 · arxiv_version: 2506.00369v1 · doi: 10.48550/arxiv.2506.00369 · pith_short_12: CYBJRMRV2CEP · pith_short_16: CYBJRMRV2CEPNPN7 · pith_short_8: CYBJRMRV

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/CYBJRMRV2CEPNPN7HD6PVXOSHJ \
  | 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: 160298b235d088f6bdbf38fcfaddd23a62f8733e00139994172c619023a7bc87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7005d4b6a08b1c85a596bd770e9530969edeb78db9912531d760ee4940b385",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-31T03:28:41Z",
    "title_canon_sha256": "00e404aa6e6a87124928df13f82c7d8e0c508454b7c0cd06444324c1a0dfc677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00369",
    "kind": "arxiv",
    "version": 1
  }
}