Pith Number

pith:P5WHOF6U

pith:2011:P5WHOF6U4XKUWN7WBLA7LHTLA2

not attested not anchored not stored refs pending

Multi-fold sums from a set with few products

Liangpan Li

arxiv:1106.6074 v1 · 2011-06-29 · 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{P5WHOF6U4XKUWN7WBLA7LHTLA2}

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	2026-05-18T04:19:04.006465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6c7717d4e5d54b37f60ac1f59e6b06a378950ab61d79082a898fe59142da3b

Aliases

arxiv: 1106.6074 · arxiv_version: 1106.6074v1 · doi: 10.48550/arxiv.1106.6074 · pith_short_12: P5WHOF6U4XKU · pith_short_16: P5WHOF6U4XKUWN7W · pith_short_8: P5WHOF6U

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/P5WHOF6U4XKUWN7WBLA7LHTLA2 \
  | 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: 7f6c7717d4e5d54b37f60ac1f59e6b06a378950ab61d79082a898fe59142da3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b80f24a4148b0ca664243116b160929717217012f3abf211765e3558b2298a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-29T22:36:38Z",
    "title_canon_sha256": "0e8f53d9e6d6a7a98828c11d251306e9f9289e76bd3938d6072d33e3f5121f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6074",
    "kind": "arxiv",
    "version": 1
  }
}