Pith Number

pith:AZW3TMNH

pith:2012:AZW3TMNH3R5XRY2NOQUE23VQCG

not attested not anchored not stored refs pending

Double Macdonald polynomials as the stable limit of Macdonald superpolynomials

L. Lapointe, O. Blondeau-Fournier, P. Mathieu

arxiv:1211.3186 v2 · 2012-11-14 · math-ph · hep-th · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZW3TMNH3R5XRY2NOQUE23VQCG}

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	2026-05-18T03:28:42.352515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066db9b1a7dc7b78e34d74284d6eb0119721e43bd27a7be28d742e11615708d9

Aliases

arxiv: 1211.3186 · arxiv_version: 1211.3186v2 · doi: 10.48550/arxiv.1211.3186 · pith_short_12: AZW3TMNH3R5X · pith_short_16: AZW3TMNH3R5XRY2N · pith_short_8: AZW3TMNH

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/AZW3TMNH3R5XRY2NOQUE23VQCG \
  | 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: 066db9b1a7dc7b78e34d74284d6eb0119721e43bd27a7be28d742e11615708d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491e54be2bce8c9eaa41eae09051cb5caf38d773ccd3681a1b0cbaf387c48d25",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-14T02:51:00Z",
    "title_canon_sha256": "cac6f21d6e92b2f6a2d695cced6b3bc1b211b16f4b1bbc9f848d2bd2ae0e74c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3186",
    "kind": "arxiv",
    "version": 2
  }
}