Pith Number

pith:WPXDPISI

pith:2011:WPXDPISIUR5ABHZ5LKQ3KIX4GP

not attested not anchored not stored refs pending

Macdonald-Koornwinder polynomials

Jasper V. Stokman

arxiv:1111.6112 v2 · 2011-11-25 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPXDPISIUR5ABHZ5LKQ3KIX4GP}

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	2026-05-18T03:46:49.237088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ee37a248a47a009f3d5aa1b522fc33c577a65a826f681d91ab45a0ef23c4ab

Aliases

arxiv: 1111.6112 · arxiv_version: 1111.6112v2 · doi: 10.48550/arxiv.1111.6112 · pith_short_12: WPXDPISIUR5A · pith_short_16: WPXDPISIUR5ABHZ5 · pith_short_8: WPXDPISI

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/WPXDPISIUR5ABHZ5LKQ3KIX4GP \
  | 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: b3ee37a248a47a009f3d5aa1b522fc33c577a65a826f681d91ab45a0ef23c4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29759ce2a727d2a0457b1c36e8c99266e35ba04ecef0fbd7187a0ffdeda66544",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-25T21:08:37Z",
    "title_canon_sha256": "d210a82e5f1ed8db0709538e8ac73e880d68ae28dff286e4f86b7a6f46cc83c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6112",
    "kind": "arxiv",
    "version": 2
  }
}