Pith Number

pith:WUP3H5IE

pith:2010:WUP3H5IELN652EY63M5SVZ2KV2

not attested not anchored not stored refs pending

Incomplete Hypergeometric Systems Associated to 1-Simplex $\times$ (n-1)-Simplex

Kenta Nishiyama

arxiv:1012.3826 v1 · 2010-12-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUP3H5IELN652EY63M5SVZ2KV2}

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	2026-05-18T04:33:03.791519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51fb3f5045b7ddd131edb3b2ae74aaeaf0ee2fdc7bafbecaadaeebb3e8da40f

Aliases

arxiv: 1012.3826 · arxiv_version: 1012.3826v1 · doi: 10.48550/arxiv.1012.3826 · pith_short_12: WUP3H5IELN65 · pith_short_16: WUP3H5IELN652EY6 · pith_short_8: WUP3H5IE

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/WUP3H5IELN652EY63M5SVZ2KV2 \
  | 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: b51fb3f5045b7ddd131edb3b2ae74aaeaf0ee2fdc7bafbecaadaeebb3e8da40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b6cb28ac5b1dc684468773d5410bc7ff35ba2b03cdff171203ad19c0a2cc3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-17T08:41:33Z",
    "title_canon_sha256": "27ca9826b646be6c3aba56759d9aceb34cf8801d6e04937c9f28110f7a9b53f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3826",
    "kind": "arxiv",
    "version": 1
  }
}