Pith Number

pith:CTTTU7OF

pith:2009:CTTTU7OFZAE4TSFRHXFC7YRXZQ

not attested not anchored not stored refs pending

On invariants of graphs related to quantum $\mathfrak{sl}(2)$ at roots of unity

Nathan Geer, Nicolai Reshetikhin

arxiv:0904.0409 v1 · 2009-04-02 · math.GT · 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{CTTTU7OFZAE4TSFRHXFC7YRXZQ}

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	2026-05-18T02:14:07.943787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e73a7dc5c809c9c8b13dca2fe237cc2531820dade6c1cb88791d0e559f2563

Aliases

arxiv: 0904.0409 · arxiv_version: 0904.0409v1 · doi: 10.48550/arxiv.0904.0409 · pith_short_12: CTTTU7OFZAE4 · pith_short_16: CTTTU7OFZAE4TSFR · pith_short_8: CTTTU7OF

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/CTTTU7OFZAE4TSFRHXFC7YRXZQ \
  | 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: 14e73a7dc5c809c9c8b13dca2fe237cc2531820dade6c1cb88791d0e559f2563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b42db1c91451ac4fea7700e412d1680ef254485a7e7256659c9a5b080e6f67",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-04-02T15:46:51Z",
    "title_canon_sha256": "c4b172cf02dff9253989f544dc47d802940eb8408ed1fca31acd9b0cd5d31f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0409",
    "kind": "arxiv",
    "version": 1
  }
}