Pith Number

pith:WJSA6LJR

pith:2011:WJSA6LJRZHLDGLE63GISR6UVFH

not attested not anchored not stored refs pending

Beta Deformation and Superpolynomials of (n,m) Torus Knots

Shamil Shakirov

arxiv:1111.7035 v2 · 2011-11-30 · math-ph · hep-th · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJSA6LJRZHLDGLE63GISR6UVFH}

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	2026-05-18T04:06:56.445583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2640f2d31c9d6332c9ed99128fa9529f1f2f50a12f95cedcdf51f3b4190c4be

Aliases

arxiv: 1111.7035 · arxiv_version: 1111.7035v2 · doi: 10.48550/arxiv.1111.7035 · pith_short_12: WJSA6LJRZHLD · pith_short_16: WJSA6LJRZHLDGLE6 · pith_short_8: WJSA6LJR

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/WJSA6LJRZHLDGLE63GISR6UVFH \
  | 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: b2640f2d31c9d6332c9ed99128fa9529f1f2f50a12f95cedcdf51f3b4190c4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e519daf3ea8e83dfb7c3b6ce7e3cd51b93fca732dc0015626ffb4559f6392c",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-30T02:32:32Z",
    "title_canon_sha256": "d652dcbf43de308faa28afa188636c9fa844c028497de4c7f9c477b83d69524c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7035",
    "kind": "arxiv",
    "version": 2
  }
}