pith. sign in
Pith Number

pith:5JUU7JUE

pith:2012:5JUU7JUESMI57AU755D437P3IR
not attested not anchored not stored refs pending

Character expansion for HOMFLY polynomials. III. All 3-Strand braids in the first symmetric representation

A. Mironov, A. Morozov, An. Morozov, H. Itoyama

arxiv:1204.4785 v4 · 2012-04-21 · hep-th · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5JUU7JUESMI57AU755D437P3IR}

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

Receipt and verification
First computed 2026-05-18T03:45:55.325814Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea694fa6849311df829fef47cdfdfb44633133877957a01d11d31a0cde023358

Aliases

arxiv: 1204.4785 · arxiv_version: 1204.4785v4 · doi: 10.48550/arxiv.1204.4785 · pith_short_12: 5JUU7JUESMI5 · pith_short_16: 5JUU7JUESMI57AU7 · pith_short_8: 5JUU7JUE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5JUU7JUESMI57AU755D437P3IR \
  | 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: ea694fa6849311df829fef47cdfdfb44633133877957a01d11d31a0cde023358
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "13c695d7a80f3b54f7788609d20f9d7e5209bb4fb54eceb5a3eca5c097b3c5cd",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-21T07:10:46Z",
    "title_canon_sha256": "c300cf78e2c5d93ffd506c112fe11f7b1ffe17e2b6cffbd7523b63891f4e2bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4785",
    "kind": "arxiv",
    "version": 4
  }
}