Pith Number

pith:2J4HXP4C

pith:2001:2J4HXP4CVOAU27UC5XUJ54MFAO

not attested not anchored not stored refs pending

Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram

Andrei Okounkov, Nikolai Reshetikhin

arxiv:math/0107056 v3 · 2001-07-06 · math.CO · math-ph · math.MP · math.PR · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2J4HXP4CVOAU27UC5XUJ54MFAO}

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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.

Cited by

1 paper in Pith

A Two-Color Lift of the Shifted $t$-Schur Measure

Receipt and verification

First computed	2026-07-04T14:35:25.479485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2787bbf82ab814d7e82ede89ef185038118f2243bb07ff71597fcb3d5ad85da

Aliases

arxiv: math/0107056 · arxiv_version: math/0107056v3 · doi: 10.48550/arxiv.math/0107056 · pith_short_12: 2J4HXP4CVOAU · pith_short_16: 2J4HXP4CVOAU27UC · pith_short_8: 2J4HXP4C

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/2J4HXP4CVOAU27UC5XUJ54MFAO \
  | 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: d2787bbf82ab814d7e82ede89ef185038118f2243bb07ff71597fcb3d5ad85da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "127a5e1631f3988a94152c50ee514aa738bdccf301c7655db19f89ee107c1d73",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-07-06T23:18:57Z",
    "title_canon_sha256": "4d72df6b9d1b8760f0a62c9e6f26b82b51bf006caac244851e36eade1fff6224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107056",
    "kind": "arxiv",
    "version": 3
  }
}