Pith Number

pith:IU25XG4Q

pith:2016:IU25XG4QEJRBPOPXRWQDXY4AUG

not attested not anchored not stored refs pending

Topological invariants from quantum group $\mathcal{U}_{\xi}\mathfrak{sl}(2|1)$ at roots of unity

Ngoc Phu Ha

arxiv:1607.03728 v3 · 2016-07-13 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IU25XG4QEJRBPOPXRWQDXY4AUG}

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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

1 paper in Pith

A supergroup series for knot complements

Receipt and verification

First computed	2026-05-18T00:48:54.381423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4535db9b90226217b9f78da03be380a182cffeba5ca5b8dcba160491d3252df0

Aliases

arxiv: 1607.03728 · arxiv_version: 1607.03728v3 · doi: 10.48550/arxiv.1607.03728 · pith_short_12: IU25XG4QEJRB · pith_short_16: IU25XG4QEJRBPOPX · pith_short_8: IU25XG4Q

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/IU25XG4QEJRBPOPXRWQDXY4AUG \
  | 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: 4535db9b90226217b9f78da03be380a182cffeba5ca5b8dcba160491d3252df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550bd5c9694cde0561e17719afa4579f7fe2243b61c6b5702ffcd6202e19a313",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-13T13:43:41Z",
    "title_canon_sha256": "56ced48c657713ac5b3dae8a046693d391f74cd0cc331f9cb427d398c903a8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03728",
    "kind": "arxiv",
    "version": 3
  }
}