Pith Number

pith:ND6M2JVK

pith:2009:ND6M2JVKPG2UC76Y6K2IHARVXP

not attested not anchored not stored refs pending

Universal deformation formulas and braided module algebras

Christian Valqui, Jorge A. Guccione, Juan J. Guccione

arxiv:0912.3159 v2 · 2009-12-16 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ND6M2JVKPG2UC76Y6K2IHARVXP}

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	2026-05-18T04:41:05.946120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68fccd26aa79b5417fd8f2b4838235bbf9a520c4dd376ebe076736bd48ef30dd

Aliases

arxiv: 0912.3159 · arxiv_version: 0912.3159v2 · doi: 10.48550/arxiv.0912.3159 · pith_short_12: ND6M2JVKPG2U · pith_short_16: ND6M2JVKPG2UC76Y · pith_short_8: ND6M2JVK

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/ND6M2JVKPG2UC76Y6K2IHARVXP \
  | 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: 68fccd26aa79b5417fd8f2b4838235bbf9a520c4dd376ebe076736bd48ef30dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4249b7fb3a521de95c07833658b824cd1e6d7d7f3c5f580bef4e15ac5c8ea99",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-12-16T15:08:15Z",
    "title_canon_sha256": "08e0057d74c7483393140d8e35e24bdfdcecd41f556de62ee2a6ec384a22c495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3159",
    "kind": "arxiv",
    "version": 2
  }
}