Pith Number

pith:DSITUZJX

pith:1997:DSITUZJXCUY5AJSTKHRFFS3C7X

not attested not anchored not stored refs pending

Biorthogonal polynomials associated with reflection groups and a formula of Macdonald

Margit R\"osler, Michael Voit

arxiv:q-alg/9711004 v1 · 1997-11-03 · q-alg · 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{DSITUZJXCUY5AJSTKHRFFS3C7X}

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	2026-05-18T01:05:07.202044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c913a65371531d0265351e252cb62fdc96dc08dc99f94995b894e5be5edcf8f

Aliases

arxiv: q-alg/9711004 · arxiv_version: q-alg/9711004v1 · doi: 10.48550/arxiv.q-alg/9711004 · pith_short_12: DSITUZJXCUY5 · pith_short_16: DSITUZJXCUY5AJST · pith_short_8: DSITUZJX

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/DSITUZJXCUY5AJSTKHRFFS3C7X \
  | 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: 1c913a65371531d0265351e252cb62fdc96dc08dc99f94995b894e5be5edcf8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a5500735bd12eba3e507f4dc52221e7897061754d1706bb7fa0770d04bee94",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-11-03T15:47:15Z",
    "title_canon_sha256": "8316406feaed5e1e68136c2227382bcc5b1c1d4f31a87d6bece55e6a837dc2c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9711004",
    "kind": "arxiv",
    "version": 1
  }
}