Pith Number

pith:CMCTIFUT

pith:2022:CMCTIFUTLQSMCQQKAHB7OQKSPW

not attested not anchored not stored refs pending

On two new kinds of restricted sumsets

Han Wang, Zhi-Wei Sun

arxiv:2210.12044 v1 · 2022-10-21 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMCTIFUTLQSMCQQKAHB7OQKSPW}

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	2026-07-05T05:09:08.512329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13053416935c24c1420a01c3f741527daa5517f4ca33b14b19272b92d3d1a359

Aliases

arxiv: 2210.12044 · arxiv_version: 2210.12044v1 · doi: 10.48550/arxiv.2210.12044 · pith_short_12: CMCTIFUTLQSM · pith_short_16: CMCTIFUTLQSMCQQK · pith_short_8: CMCTIFUT

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/CMCTIFUTLQSMCQQKAHB7OQKSPW \
  | 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: 13053416935c24c1420a01c3f741527daa5517f4ca33b14b19272b92d3d1a359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a054ffb7683b2d11bc7836b7d7cfd31a12c47e8fe732ee14cfd59a944d008f0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-21T15:38:12Z",
    "title_canon_sha256": "c7eb4da523d2b35e0dc7ac5a70bfa487f20a7c71c9fae186e3ad4416c871b6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.12044",
    "kind": "arxiv",
    "version": 1
  }
}