Pith Number

pith:5Y6EDQ2T

pith:2008:5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q

not attested not anchored not stored refs pending

Non-colliding Jacobi processes as limits of Markov chains on Gelfand-Tsetlin graph

Vadim Gorin

arxiv:0812.3146 v1 · 2008-12-16 · 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{5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q}

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	2026-05-18T04:15:17.194162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3c41c353b4345f8337e8fd062d3af40a40496f8e8d332b85bf756293f0d4bd

Aliases

arxiv: 0812.3146 · arxiv_version: 0812.3146v1 · doi: 10.48550/arxiv.0812.3146 · pith_short_12: 5Y6EDQ2TWQ2F · pith_short_16: 5Y6EDQ2TWQ2F7AZX · pith_short_8: 5Y6EDQ2T

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/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q \
  | 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: ee3c41c353b4345f8337e8fd062d3af40a40496f8e8d332b85bf756293f0d4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44bbe7bc9267ebdb211acea9d4c419b449500f538f81442e73fbc1b229f47751",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-16T20:50:23Z",
    "title_canon_sha256": "da6c79a36a9b8d854c069c8470c24a4f25d504dc518a0424f4d5f5c496ff0a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3146",
    "kind": "arxiv",
    "version": 1
  }
}