Pith Number

pith:6HTMQM2K

pith:2024:6HTMQM2KDT4AEP2ZAPHNJAQRQK

not attested not anchored not stored refs pending

The HOMFLY-PT polynomial and HZ factorisation

Andreani Petrou, Shinobu Hikami

arxiv:2412.04933 v3 · 2024-12-06 · math-ph · 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{6HTMQM2KDT4AEP2ZAPHNJAQRQK}

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

2 papers in Pith

The HZ character expansion and a hyperbolic extension of torus knots

A relation between the HOMFLY-PT and Kauffman polynomials via characters

Receipt and verification

First computed	2026-07-05T10:03:49.684349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e6c8334a1cf8023f5903ced482118295361a3d6a8b3d70cf7f4c37538bdad2

Aliases

arxiv: 2412.04933 · arxiv_version: 2412.04933v3 · doi: 10.48550/arxiv.2412.04933 · pith_short_12: 6HTMQM2KDT4A · pith_short_16: 6HTMQM2KDT4AEP2Z · pith_short_8: 6HTMQM2K

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/6HTMQM2KDT4AEP2ZAPHNJAQRQK \
  | 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: f1e6c8334a1cf8023f5903ced482118295361a3d6a8b3d70cf7f4c37538bdad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0c3b84665ffe04c88eeee0f71a2ae071b115fbbe900838982ef20dc041648b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-12-06T10:41:36Z",
    "title_canon_sha256": "16107d0d9bc09b9309eea7e84e334f9d316bee44b0da68a01adcf79ed9d262dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04933",
    "kind": "arxiv",
    "version": 3
  }
}