Pith Number

pith:IZVDDMUK

pith:2010:IZVDDMUKGC2ZZIXBWNN3ANLJJC

not attested not anchored not stored refs pending

Relative PBW type theorems for symmetrically braided Hopf algebras

Bogdan Ion

arxiv:1004.5022 v1 · 2010-04-28 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZVDDMUKGC2ZZIXBWNN3ANLJJC}

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	2026-05-18T02:24:15.451875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466a31b28a30b59ca2e1b35bb03569488be17f12f6a26b087c2e7644872fc00e

Aliases

arxiv: 1004.5022 · arxiv_version: 1004.5022v1 · doi: 10.48550/arxiv.1004.5022 · pith_short_12: IZVDDMUKGC2Z · pith_short_16: IZVDDMUKGC2ZZIXB · pith_short_8: IZVDDMUK

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/IZVDDMUKGC2ZZIXBWNN3ANLJJC \
  | 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: 466a31b28a30b59ca2e1b35bb03569488be17f12f6a26b087c2e7644872fc00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f96b888dd53182e64afe200eb5ff49e28f262aa380172d7b2ef7983d747a05e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-04-28T13:10:47Z",
    "title_canon_sha256": "d8dff761cb7928fec2c4e9bf0b6dcdad23bad66e41d306ed2571dec91f11ec63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5022",
    "kind": "arxiv",
    "version": 1
  }
}