Pith Number

pith:7HK5ZDH3

pith:2018:7HK5ZDH3HKAPVTWZMX6FS4RXVV

not attested not anchored not stored refs pending

Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra

Daniel Alpay, Daniele C. Struppa, Ismael L. Paiva

arxiv:1806.11058 v2 · 2018-06-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HK5ZDH3HKAPVTWZMX6FS4RXVV}

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	2026-05-17T23:56:09.850221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d5dc8cfb3a80faced965fc597237ad56c0c1a15785c72d43ed62a6ce519ad3

Aliases

arxiv: 1806.11058 · arxiv_version: 1806.11058v2 · doi: 10.48550/arxiv.1806.11058 · pith_short_12: 7HK5ZDH3HKAP · pith_short_16: 7HK5ZDH3HKAPVTWZ · pith_short_8: 7HK5ZDH3

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/7HK5ZDH3HKAPVTWZMX6FS4RXVV \
  | 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: f9d5dc8cfb3a80faced965fc597237ad56c0c1a15785c72d43ed62a6ce519ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea57f5f10e91e4213e8f56e28afb78f8203e7223a8970f80258051e066cda1a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-28T16:19:04Z",
    "title_canon_sha256": "f6291c471763f436a5f14bbe21023f5ab70a72ab3d58639843c0d271813c8bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11058",
    "kind": "arxiv",
    "version": 2
  }
}