Pith Number

pith:KKQAICMA

pith:2013:KKQAICMATF42ZZPUOKNDMKGSGK

not attested not anchored not stored refs pending

Nearest neighbor Markov dynamics on Macdonald processes

Alexei Borodin, Leonid Petrov

arxiv:1305.5501 v1 · 2013-05-23 · math.PR · math-ph · math.CO · math.MP · 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{KKQAICMATF42ZZPUOKNDMKGSGK}

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	2026-05-18T03:25:04.636574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a00409809979ace5f4729a3628d2328e1406bb02bcaba0cce9e2deea07bf61

Aliases

arxiv: 1305.5501 · arxiv_version: 1305.5501v1 · doi: 10.48550/arxiv.1305.5501 · pith_short_12: KKQAICMATF42 · pith_short_16: KKQAICMATF42ZZPU · pith_short_8: KKQAICMA

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/KKQAICMATF42ZZPUOKNDMKGSGK \
  | 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: 52a00409809979ace5f4729a3628d2328e1406bb02bcaba0cce9e2deea07bf61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f08a8550db6b670f5e0bbb9ded35474432c47feaa0529f82075be9bf5234decf",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-23T17:57:26Z",
    "title_canon_sha256": "6de048adf8d4a60223517ac476f37a5b0e2c4aaff9d85e20e28419ea63fdd240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5501",
    "kind": "arxiv",
    "version": 1
  }
}