Pith Number

pith:A3PJDIIA

pith:2014:A3PJDIIAJEACCKWXQZYK7TW7C5

not attested not anchored not stored refs pending

On the cardinality of general $h$-fold sumsets

Quan-Hui Yang, Yong-Gao Chen

arxiv:1406.7346 v1 · 2014-06-28 · math.NT · 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{A3PJDIIAJEACCKWXQZYK7TW7C5}

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	2026-05-18T02:26:12.805199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06de91a1004900212ad78670afcedf17631af9e112e8b62b175d79ec41fd5935

Aliases

arxiv: 1406.7346 · arxiv_version: 1406.7346v1 · doi: 10.48550/arxiv.1406.7346 · pith_short_12: A3PJDIIAJEAC · pith_short_16: A3PJDIIAJEACCKWX · pith_short_8: A3PJDIIA

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/A3PJDIIAJEACCKWXQZYK7TW7C5 \
  | 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: 06de91a1004900212ad78670afcedf17631af9e112e8b62b175d79ec41fd5935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704c2a7cf1b212940911ed454bfbb4eacbba2c0bb8f46787f3a2f4e87b1a16e5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-28T02:33:20Z",
    "title_canon_sha256": "14fce89705e9d0763c61cfe4d1d70ae2d44f5512598bcabf6c754007d918a6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7346",
    "kind": "arxiv",
    "version": 1
  }
}