Pith Number

pith:XMR4ZXUM

pith:2010:XMR4ZXUMNJFFNLFOSNO6DADYFO

not attested not anchored not stored refs pending

Topological invariants from non-restricted quantum groups

Bertrand Patureau-Mirand, Nathan Geer

arxiv:1009.4120 v3 · 2010-09-21 · math.GT · math-ph · math.MP · 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{XMR4ZXUMNJFFNLFOSNO6DADYFO}

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	2026-05-18T02:41:50.743852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb23ccde8c6a4a56acae935de180782baaa2b9fcfa1ac3782b985735940e4ad7

Aliases

arxiv: 1009.4120 · arxiv_version: 1009.4120v3 · doi: 10.48550/arxiv.1009.4120 · pith_short_12: XMR4ZXUMNJFF · pith_short_16: XMR4ZXUMNJFFNLFO · pith_short_8: XMR4ZXUM

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/XMR4ZXUMNJFFNLFOSNO6DADYFO \
  | 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: bb23ccde8c6a4a56acae935de180782baaa2b9fcfa1ac3782b985735940e4ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624f0e5d5b73d34a2ef033be5331803eac3ad29543e6db22c619ca84b8a1d9bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-21T15:11:24Z",
    "title_canon_sha256": "1852046a5a42dd4dbb694d2a6af849dbf2f2eba92a488d02de4261c497bce2b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4120",
    "kind": "arxiv",
    "version": 3
  }
}