Pith Number

pith:S52KCBEF

pith:2018:S52KCBEFSVI2QJUEBP5FLDFYXD

not attested not anchored not stored refs pending

From multiline queues to Macdonald polynomials via the exclusion process

Lauren Williams, Olya Mandelshtam, Sylvie Corteel

arxiv:1811.01024 v4 · 2018-11-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S52KCBEFSVI2QJUEBP5FLDFYXD}

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.

Cited by

1 paper in Pith

Formulas for Koornwinder polynomials

Receipt and verification

First computed	2026-07-05T03:20:17.458840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9774a104859551a826840bfa558cb8b8dc92b76774494fefc24fb358f12b124f

Aliases

arxiv: 1811.01024 · arxiv_version: 1811.01024v4 · doi: 10.48550/arxiv.1811.01024 · pith_short_12: S52KCBEFSVI2 · pith_short_16: S52KCBEFSVI2QJUE · pith_short_8: S52KCBEF

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/S52KCBEFSVI2QJUEBP5FLDFYXD \
  | 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: 9774a104859551a826840bfa558cb8b8dc92b76774494fefc24fb358f12b124f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f956fa5df8dd90588484813bb9c691d8b05307afa8edb09e7c51cf4d39d0ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-02T18:00:28Z",
    "title_canon_sha256": "16ed89f7e539b0d6ae8bd0a3fdcfc07a58524b018b7f21c543c0f674eb44e71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01024",
    "kind": "arxiv",
    "version": 4
  }
}