Pith Number

pith:ILQK4HCP

pith:2019:ILQK4HCPYTSIAF7TRBNVSINBZO

not attested not anchored not stored refs pending

A formula on Stirling numbers of the second kind and its application to the unstable $K$-theory of stunted complex projective spaces

Osamu Nishimura

arxiv:1906.00384 v2 · 2019-06-02 · math.CO · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILQK4HCPYTSIAF7TRBNVSINBZO}

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	2026-05-17T23:42:53.077993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e0ae1c4fc4e48017f3885b5921a1cb9e1c5ee08752c2bc2b7542141c35aadb

Aliases

arxiv: 1906.00384 · arxiv_version: 1906.00384v2 · doi: 10.48550/arxiv.1906.00384 · pith_short_12: ILQK4HCPYTSI · pith_short_16: ILQK4HCPYTSIAF7T · pith_short_8: ILQK4HCP

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/ILQK4HCPYTSIAF7TRBNVSINBZO \
  | 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: 42e0ae1c4fc4e48017f3885b5921a1cb9e1c5ee08752c2bc2b7542141c35aadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be0baf10a2784f406da1ef5b4c9c61a500b903006717d7b1572cf40619d55f5",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-02T10:25:33Z",
    "title_canon_sha256": "b4e248a5980de8c970f816a5dcb8e6a7091d2554bcc086f6822018c2af52ce51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00384",
    "kind": "arxiv",
    "version": 2
  }
}