Pith Number

pith:XZK7O4UZ

pith:2013:XZK7O4UZVVOBQSKVBIXFKTZX6G

not attested not anchored not stored refs pending

A New Proof of Kemperman's Theorem

Amanda Montejano, Matt DeVos, Tomas Boothby

arxiv:1301.0095 v2 · 2013-01-01 · 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{XZK7O4UZVVOBQSKVBIXFKTZX6G}

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	2026-05-18T03:30:41.179079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be55f77299ad5c1849550a2e554f37f18a7bac0bbd5e255787b1e95fc9133299

Aliases

arxiv: 1301.0095 · arxiv_version: 1301.0095v2 · doi: 10.48550/arxiv.1301.0095 · pith_short_12: XZK7O4UZVVOB · pith_short_16: XZK7O4UZVVOBQSKV · pith_short_8: XZK7O4UZ

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/XZK7O4UZVVOBQSKVBIXFKTZX6G \
  | 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: be55f77299ad5c1849550a2e554f37f18a7bac0bbd5e255787b1e95fc9133299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b5f5e2bc68ac991453843828731350850288823bc54153fc134b05f36dbaf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-01T15:33:00Z",
    "title_canon_sha256": "ab814f73828244f1c1647bc4ca5a1a3006dd8fd5b08a8c716efa546472f86fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0095",
    "kind": "arxiv",
    "version": 2
  }
}