Pith Number

pith:LRQSORPR

pith:2009:LRQSORPRPYAUT6SC7GFUDLWCEB

not attested not anchored not stored refs pending

Locally compact abelian groups with symplectic self-duality

Amritanshu Prasad, Ilya Shapiro, M. K. Vemuri

arxiv:0906.4397 v1 · 2009-06-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRQSORPRPYAUT6SC7GFUDLWCEB}

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	2026-05-18T04:41:52.878422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c612745f17e0149fa42f98b41aec2207d24291d8deebfc78b824c85d181d1f3

Aliases

arxiv: 0906.4397 · arxiv_version: 0906.4397v1 · doi: 10.48550/arxiv.0906.4397 · pith_short_12: LRQSORPRPYAU · pith_short_16: LRQSORPRPYAUT6SC · pith_short_8: LRQSORPR

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/LRQSORPRPYAUT6SC7GFUDLWCEB \
  | 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: 5c612745f17e0149fa42f98b41aec2207d24291d8deebfc78b824c85d181d1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588c7d3f8ad7a04418da225a485aafeb5b7fa20ae60dcfa44821da5e5564b974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-06-24T03:36:44Z",
    "title_canon_sha256": "79a9efb52cc5d6fdf2eb08c056743448055769721edf575aba9c2873477ade8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4397",
    "kind": "arxiv",
    "version": 1
  }
}