Pith Number

pith:TLPB7T3I

pith:1995:TLPB7T3IWHSG3ANMM3FT7FWMU2

not attested not anchored not stored refs pending

Integral Representations of the Macdonald Symmetric Functions

Hidetoshi Awata, Jun'ichi Shiraishi, Satoru Odake

arxiv:q-alg/9506006 v4 · 1995-06-08 · q-alg · hep-th · 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{TLPB7T3IWHSG3ANMM3FT7FWMU2}

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

Ruijsenaars spectral transform

Receipt and verification

First computed	2026-07-04T23:56:44.746464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73

Aliases

arxiv: q-alg/9506006 · arxiv_version: q-alg/9506006v4 · doi: 10.48550/arxiv.q-alg/9506006 · pith_short_12: TLPB7T3IWHSG · pith_short_16: TLPB7T3IWHSG3ANM · pith_short_8: TLPB7T3I

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/TLPB7T3IWHSG3ANMM3FT7FWMU2 \
  | 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: 9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2b5a789d67c5daa56ec95524f34f98918475e634ddcfcebd58ab4a74ebc556",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1995-06-08T13:41:41Z",
    "title_canon_sha256": "83337b762857498683b2707cb8392a8d374a050626b274834f05758f793a7806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9506006",
    "kind": "arxiv",
    "version": 4
  }
}