Pith Number

pith:UYZZOSGI

pith:2016:UYZZOSGIH5FQTC5TILO5HW2N2R

not attested not anchored not stored refs pending

Extended Gelfand-Tsetlin graph, its q-boundary, and q-B-splines

Grigori Olshanski

arxiv:1607.04201 v1 · 2016-07-14 · math.PR · math.CA · math.CO · 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{UYZZOSGIH5FQTC5TILO5HW2N2R}

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	2026-05-18T01:11:03.893728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6339748c83f4b098bb342ddd3db4dd47a207f07d3c3cc4139a429423bc12808

Aliases

arxiv: 1607.04201 · arxiv_version: 1607.04201v1 · doi: 10.48550/arxiv.1607.04201 · pith_short_12: UYZZOSGIH5FQ · pith_short_16: UYZZOSGIH5FQTC5T · pith_short_8: UYZZOSGI

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/UYZZOSGIH5FQTC5TILO5HW2N2R \
  | 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: a6339748c83f4b098bb342ddd3db4dd47a207f07d3c3cc4139a429423bc12808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a492c7bc287878cdb39d057fedbe55787a8b7815faa3b856903d478da70b52ff",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-14T16:40:21Z",
    "title_canon_sha256": "c4f12ae679b90928831fe3f86f2009a0de09579f158f686b804a7a0e5b5698e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04201",
    "kind": "arxiv",
    "version": 1
  }
}