Pith Number

pith:2GSRGHOC

pith:2005:2GSRGHOCVKS6DIGFBBO3YWXMHT

not attested not anchored not stored refs pending

The correlation functions of vertex operators and Macdonald polynomials

Shun-Jen Cheng, Weiqiang Wang

arxiv:math/0512064 v1 · 2005-12-02 · math.CO · 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{2GSRGHOCVKS6DIGFBBO3YWXMHT}

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	2026-07-04T14:59:10.499992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a5131dc2aaa5e1a0c5085dbc5aec3cdc31871e65d29145ba3c57ffe414bbd0

Aliases

arxiv: math/0512064 · arxiv_version: math/0512064v1 · doi: 10.48550/arxiv.math/0512064 · pith_short_12: 2GSRGHOCVKS6 · pith_short_16: 2GSRGHOCVKS6DIGF · pith_short_8: 2GSRGHOC

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/2GSRGHOCVKS6DIGFBBO3YWXMHT \
  | 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: d1a5131dc2aaa5e1a0c5085dbc5aec3cdc31871e65d29145ba3c57ffe414bbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee04d40ea727963596cf0c8c3012d8a6c5c3cec28c1164ad4ebfb5ac0d7d6976",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-12-02T16:13:24Z",
    "title_canon_sha256": "4337e0bb13afdf30e2b46914a94afb6c4c7fbeeb68c0dc15a7b6130772228284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512064",
    "kind": "arxiv",
    "version": 1
  }
}