Pith Number

pith:BSKYADGN

pith:2017:BSKYADGNXDNGR4SSD7XVDBI53K

not attested not anchored not stored refs pending

On Bi-free Multiplicative Convolution

Mingchu Gao

arxiv:1710.05087 v3 · 2017-10-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSKYADGNXDNGR4SSD7XVDBI53K}

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	2026-05-17T23:51:56.084745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c95800ccdb8da68f2521fef51851ddab409f7c40f33905aeaf53793222a8285

Aliases

arxiv: 1710.05087 · arxiv_version: 1710.05087v3 · doi: 10.48550/arxiv.1710.05087 · pith_short_12: BSKYADGNXDNG · pith_short_16: BSKYADGNXDNGR4SS · pith_short_8: BSKYADGN

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/BSKYADGNXDNGR4SSD7XVDBI53K \
  | 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: 0c95800ccdb8da68f2521fef51851ddab409f7c40f33905aeaf53793222a8285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8318f1cdceba050cba186cc03d84ad666c85dac8a96a5362e6ac05763fb35fca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-13T22:03:25Z",
    "title_canon_sha256": "18a15d194ceeb3d50eb804ffb25f36d115a9f27bebe0d1b96ee4a9d0dd75e28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05087",
    "kind": "arxiv",
    "version": 3
  }
}