Pith Number

pith:2ZO4LRNA

pith:2011:2ZO4LRNAVXB7QPVMAVY2D22DGY

not attested not anchored not stored refs pending

Character expansion for HOMFLY polynomials. I. Integrability and difference equations

A.Mironov, A.Morozov, An.Morozov

arxiv:1112.5754 v1 · 2011-12-24 · hep-th · 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{2ZO4LRNAVXB7QPVMAVY2D22DGY}

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

Reductions in Khovanov-Rozansky operator formalism

Receipt and verification

First computed	2026-05-18T03:30:26.010012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65dc5c5a0adc3f83eac0571a1eb43363a761a801de889da29a126858b49a298

Aliases

arxiv: 1112.5754 · arxiv_version: 1112.5754v1 · doi: 10.48550/arxiv.1112.5754 · pith_short_12: 2ZO4LRNAVXB7 · pith_short_16: 2ZO4LRNAVXB7QPVM · pith_short_8: 2ZO4LRNA

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/2ZO4LRNAVXB7QPVMAVY2D22DGY \
  | 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: d65dc5c5a0adc3f83eac0571a1eb43363a761a801de889da29a126858b49a298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895b23e5b5a005538bc7a5964c803f70c81a6c28b61c506db1ffaf07a8e39a95",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-24T20:17:42Z",
    "title_canon_sha256": "cc8bf337d18b0cbe8a3851ff35b3d0c42ed30c4db244653fa448f9c43f9106fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5754",
    "kind": "arxiv",
    "version": 1
  }
}