Pith Number

pith:NQ3TAHAG

pith:2019:NQ3TAHAGN5WV34VWPQ3FMFBHZW

not attested not anchored not stored refs pending

Multiplicity free actions, birth and death processes on partitions, and Biane's quantum Ornstein-Uhlenbeck semigroups

Marcin \'Swieca, Wojciech Matysiak

arxiv:1905.12263 v1 · 2019-05-29 · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQ3TAHAGN5WV34VWPQ3FMFBHZW}

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	2026-05-17T23:44:44.831397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c37301c066f6d5df2b67c36561427cdab76d69e6f449eda220fcd6ada1b3843

Aliases

arxiv: 1905.12263 · arxiv_version: 1905.12263v1 · doi: 10.48550/arxiv.1905.12263 · pith_short_12: NQ3TAHAGN5WV · pith_short_16: NQ3TAHAGN5WV34VW · pith_short_8: NQ3TAHAG

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/NQ3TAHAGN5WV34VWPQ3FMFBHZW \
  | 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: 6c37301c066f6d5df2b67c36561427cdab76d69e6f449eda220fcd6ada1b3843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3052830cf2ce02a18f5ea46c82bd20b5aa701607700d4a730d1ab2827547eff7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-29T07:56:50Z",
    "title_canon_sha256": "b8591a46449ac0ec8e4f87e1babac7c848e7f565ce9421120a03bf55ac99c6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12263",
    "kind": "arxiv",
    "version": 1
  }
}