Pith Number

pith:Y4ARXOW5

pith:2009:Y4ARXOW5CXRL4W5HXLJFHO7FMR

not attested not anchored not stored refs pending

Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld

Madeleine Jotz

arxiv:0910.1538 v3 · 2009-10-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4ARXOW5CXRL4W5HXLJFHO7FMR}

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	2026-05-18T04:22:40.498248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7011bbadd15e2be5ba7bad253bbe5645d5fc6c1631e530ba913a82876cb3a25

Aliases

arxiv: 0910.1538 · arxiv_version: 0910.1538v3 · doi: 10.48550/arxiv.0910.1538 · pith_short_12: Y4ARXOW5CXRL · pith_short_16: Y4ARXOW5CXRL4W5H · pith_short_8: Y4ARXOW5

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/Y4ARXOW5CXRL4W5HXLJFHO7FMR \
  | 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: c7011bbadd15e2be5ba7bad253bbe5645d5fc6c1631e530ba913a82876cb3a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6197c80efb5d3fc83dd357e5bdec67dac7cd86407501c0899b40f35f9c0fde7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-08T15:59:54Z",
    "title_canon_sha256": "21135a3c784c52675be9545ff8668f7baf5795a23930bdfc7318d2080a5cb8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1538",
    "kind": "arxiv",
    "version": 3
  }
}