Pith Number

pith:XN63BMNZ

pith:2011:XN63BMNZDQKAG6KCS3C7AB57PR

not attested not anchored not stored refs pending

Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral

A. Varchenko, P. Zinn-Justin, R. Rim\'anyi, V. Tarasov

arxiv:1110.2187 v2 · 2011-10-10 · math-ph · math.AG · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XN63BMNZDQKAG6KCS3C7AB57PR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:00:14.051377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7db0b1b91c1403794296c5f007bf7c5b208ab136012c0c2951ba97fca8baa8

Aliases

arxiv: 1110.2187 · arxiv_version: 1110.2187v2 · doi: 10.48550/arxiv.1110.2187 · pith_short_12: XN63BMNZDQKA · pith_short_16: XN63BMNZDQKAG6KC · pith_short_8: XN63BMNZ

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/XN63BMNZDQKAG6KCS3C7AB57PR \
  | 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: bb7db0b1b91c1403794296c5f007bf7c5b208ab136012c0c2951ba97fca8baa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0e71349996919fc46860ee5f9d2a984c3f9296c86ad0903da68c1f7f0b36692",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-10T20:03:12Z",
    "title_canon_sha256": "447501778893273620640aabe01008a3d9d2f649f073e9fdbdb7f6abb70b5bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2187",
    "kind": "arxiv",
    "version": 2
  }
}