Pith Number

pith:DEABMMNO

pith:2014:DEABMMNOPDP5KOV7YQJA2H5IGR

not attested not anchored not stored refs pending

Multilevel Dyson Brownian motions via Jack polynomials

Mykhaylo Shkolnikov, Vadim Gorin

arxiv:1401.5595 v2 · 2014-01-22 · math.PR · math-ph · math.CO · 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{DEABMMNOPDP5KOV7YQJA2H5IGR}

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	2026-05-18T01:19:22.430021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19001631ae78dfd53abfc4120d1fa8346110debc58c7578cd21dba5be0d95539

Aliases

arxiv: 1401.5595 · arxiv_version: 1401.5595v2 · doi: 10.48550/arxiv.1401.5595 · pith_short_12: DEABMMNOPDP5 · pith_short_16: DEABMMNOPDP5KOV7 · pith_short_8: DEABMMNO

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/DEABMMNOPDP5KOV7YQJA2H5IGR \
  | 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: 19001631ae78dfd53abfc4120d1fa8346110debc58c7578cd21dba5be0d95539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a0bd64ea984be97c8f7878aba30105edd3ed922789372719bbc453c963cd22",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-22T09:26:46Z",
    "title_canon_sha256": "95419f684b6a77279cbd9bd43e01a3c3aa6b5f2fa850c988c56b0d0c9d672b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5595",
    "kind": "arxiv",
    "version": 2
  }
}